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Paper Citation Record · LEDGER

Groups of finite type: classification and structural properties

As of 8 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2509.03927.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2509.03927 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:38:10.803839Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

52 of 52 outbound references displayed

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  • verified fuzzy33
  • unresolved10
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 681190d5-3f82-4ba6-9035-6d8fd5741d12 · outbound

This paper cites an unresolved cited work.

Groups of finite type: classification and structural properties Unresolved cited work

Reference 1

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Observation 4ca9904f-2175-4bbe-879a-a4c2ec3804f4 · outbound

This paper cites Ab´ ert, Group laws and free subgroups in topological groups, The Bulletin of the London Mathematical Society, 37 (4), 525–534, 2005.

Groups of finite type: classification and structural properties Ab´ ert, Group laws and free subgroups in topological groups, The Bulletin of the London Mathematical Society, 37 (4), 525–534, 2005

Reference 2

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Observation 9ce633e0-4bce-41a1-80a5-cef5cc1e54cf · outbound

This paper cites Ab´ ert and B.

Groups of finite type: classification and structural properties Ab´ ert and B

Reference 3

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This paper cites Barnea and A.

Groups of finite type: classification and structural properties Barnea and A

Reference 4

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Observation 016e2141-e048-4c68-b161-189f056c6acf · outbound

This paper cites Bartholdi, Branch rings, thinned rings, tree enveloping rings—Erratum, Israel Journal of Mathematics, 193 (1), 507–508, 2013.

Groups of finite type: classification and structural properties Bartholdi, Branch rings, thinned rings, tree enveloping rings—Erratum, Israel Journal of Mathematics, 193 (1), 507–508, 2013

Reference 5

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Observation 1f8d7fab-611f-4d35-8d8b-90c8d3abc4bd · outbound

This paper cites Bartholdi and V.

Groups of finite type: classification and structural properties Bartholdi and V

Reference 6

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 7ff44b26-aab3-4617-9379-1aea4673b74b · outbound

This paper cites Bartholdi, O.

Groups of finite type: classification and structural properties Bartholdi, O

Reference 7

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Source-reported events for the cited work

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Observation fb6f2a32-2185-4ee8-baee-7185a1c0e079 · outbound

This paper cites an unresolved cited work.

Groups of finite type: classification and structural properties Unresolved cited work

Reference 8

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 0de1c3db-daa2-4892-a2d7-c0800acfe933 · outbound

This paper cites an unresolved cited work.

Groups of finite type: classification and structural properties Unresolved cited work

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation bd4e6434-2da1-4215-99d7-a7c10ee0e835 · outbound

This paper cites Capdeboscq, D.

Groups of finite type: classification and structural properties Capdeboscq, D

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 6ccc28ff-1cdd-4481-8533-61fbaf21a2bf · outbound

This paper cites de la Harpe, Topics in geometric group theory, University of Chicago Press, Chicago, IL , vi–310, 2000.

Groups of finite type: classification and structural properties de la Harpe, Topics in geometric group theory, University of Chicago Press, Chicago, IL , vi–310, 2000

Reference 11

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 87d5187b-09e7-42a7-ba25-d8315804f7b7 · outbound

This paper cites Di Domenico, G.

Groups of finite type: classification and structural properties Di Domenico, G

Reference 12

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Source-reported events for the cited work

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Observation 0b706bc8-0ed2-4ce8-84af-e4b91c10b290 · outbound

This paper cites Fari˜ na-Asategui, Cyclicity, hypercyclicity and randomness in self-similar groups, Monat- shefte f¨ ur Mathematik, 207 (2), 275–292, 2025.

Groups of finite type: classification and structural properties Fari˜ na-Asategui, Cyclicity, hypercyclicity and randomness in self-similar groups, Monat- shefte f¨ ur Mathematik, 207 (2), 275–292, 2025

Reference 13

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Source-reported events for the cited work

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Observation f75390f2-d1cb-4f49-9f03-0b0f00a9244d · outbound

This paper cites Fari˜ na-Asategui, Restricted Hausdorff spectra ofq-adic automorphisms, Advances in Math- ematics, 472, 2025.

Groups of finite type: classification and structural properties Fari˜ na-Asategui, Restricted Hausdorff spectra ofq-adic automorphisms, Advances in Math- ematics, 472, 2025

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 37c32731-ebe8-4de8-ab8f-1f271202bc70 · outbound

This paper cites Jorge Fari˜ na-Asategui, An algorithm to compute the Hausdorff dimension of regular branch groups, arXiv preprint: 2502.09113, 2025.

Groups of finite type: classification and structural properties Jorge Fari˜ na-Asategui, An algorithm to compute the Hausdorff dimension of regular branch groups, arXiv preprint: 2502.09113, 2025

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation a6a1f296-1ccd-48c1-9471-328e56c9704f · outbound

This paper cites Weakly branch actions: first-order theory, rigidity and Boston's conjecture.

Groups of finite type: classification and structural properties Weakly branch actions: first-order theory, rigidity and Boston's conjecture

Reference 16

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local_arxiv, observed 2026-08-05T10:38:10.917739Z

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Observation 6ccc6497-76dd-4136-82ad-5982c6680353 · outbound

This paper cites On the fixed-point proportion of self-similar groups.

Groups of finite type: classification and structural properties On the fixed-point proportion of self-similar groups

Reference 17

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local_arxiv, observed 2026-08-05T10:38:10.906950Z

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Observation afaca039-4361-45c8-9e85-214ffca0396f · outbound

This paper cites Random subgroups of branch groups.

Groups of finite type: classification and structural properties Random subgroups of branch groups

Reference 18

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local_arxiv, observed 2026-08-05T10:38:10.895741Z

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Observation 9016c588-d965-47bf-824e-a3e31951a41d · outbound

This paper cites an unresolved cited work.

Groups of finite type: classification and structural properties Unresolved cited work

Reference 19

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raw_fallback, observed 2026-08-05T10:38:11.243373Z

Source-reported events for the cited work

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Observation ae76f0a8-7301-4bf4-992b-60c2af054e49 · outbound

This paper cites Branch groups with infinite rigid kernel.

Groups of finite type: classification and structural properties Branch groups with infinite rigid kernel

Reference 20

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verified exact
local_arxiv, observed 2026-08-05T10:38:10.884203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 3e886b9f-d7fc-4aa6-9dba-de6f07b70601 · outbound

This paper cites Grigorchuk, Solved and unsolved problems around one group, Birkh¨ auser, Basel, 248, 117–218, 2005.

Groups of finite type: classification and structural properties Grigorchuk, Solved and unsolved problems around one group, Birkh¨ auser, Basel, 248, 117–218, 2005

Reference 21

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Observation 0a1590af-feda-4e79-84e7-4a1def53e0a0 · outbound

This paper cites Grigorchuk, V.

Groups of finite type: classification and structural properties Grigorchuk, V

Reference 22

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Observation 80478f00-c54f-477a-89bd-c7aece254434 · outbound

This paper cites Grigorchuk, D.

Groups of finite type: classification and structural properties Grigorchuk, D

Reference 23

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Observation 750b68a6-2cb4-43b0-ad3a-0f961eee2405 · outbound

This paper cites Grigorchuk, Just infinite branch groups, Birkh¨ auser Boston, Boston, MA 184, 121–179, 2000.

Groups of finite type: classification and structural properties Grigorchuk, Just infinite branch groups, Birkh¨ auser Boston, Boston, MA 184, 121–179, 2000

Reference 24

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Observation 5bee7237-5dc5-4297-a3ab-6c7f224a229b · outbound

This paper cites Grigorchuk, V.

Groups of finite type: classification and structural properties Grigorchuk, V

Reference 25

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Observation b570568d-0582-4cbb-87df-7578da9f1335 · outbound

This paper cites an unresolved cited work.

Groups of finite type: classification and structural properties Unresolved cited work

Reference 26

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Observation 4ad16eb3-315b-4c36-b450-6509141b406f · outbound

This paper cites Grigorcuk, On Burnside’s problem on periodic groups, Funktsional.

Groups of finite type: classification and structural properties Grigorcuk, On Burnside’s problem on periodic groups, Funktsional

Reference 27

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 8dbe9ab9-f47f-4af4-98cf-0e3f4505aa60 · outbound

This paper cites Gupta and S.

Groups of finite type: classification and structural properties Gupta and S

Reference 28

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 6f188946-3102-4b23-b068-40443f5c49aa · outbound

This paper cites Hall, A note on SI -groups, The Journal of the London Mathematical Society , 39, 338–344, 1964.

Groups of finite type: classification and structural properties Hall, A note on SI -groups, The Journal of the London Mathematical Society , 39, 338–344, 1964

Reference 29

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Observation 7a121488-a2da-4684-bbc5-aec327c09fd3 · outbound

This paper cites an unresolved cited work.

Groups of finite type: classification and structural properties Unresolved cited work

Reference 30

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 1ca42d50-27da-4228-a927-7ee8d86b9afb · outbound

This paper cites Lind and B.

Groups of finite type: classification and structural properties Lind and B

Reference 31

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 1c5885fb-4cc7-4a9d-8865-47d96744b2ac · outbound

This paper cites Magnus, A.

Groups of finite type: classification and structural properties Magnus, A

Reference 32

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation ec15d7be-3ca2-4f75-a1ed-70e48b523bfe · outbound

This paper cites an unresolved cited work.

Groups of finite type: classification and structural properties Unresolved cited work

Reference 33

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 0760c2ac-4f7d-43db-b37d-84f1312ce8f8 · outbound

This paper cites Nekrashevych, Self-similar groups, American Mathematical Society, Providence, RI 117, xii–231, 2005.

Groups of finite type: classification and structural properties Nekrashevych, Self-similar groups, American Mathematical Society, Providence, RI 117, xii–231, 2005

Reference 34

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raw_fallback, observed 2026-08-05T10:38:11.129494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.754954Z digest=sha256:b3271f5ac4eee37c524474be39ed55ec44d51e64cde296c24d5c92d57bf981a3

Observation 3688699e-a266-4173-86fc-3b8780a3cff5 · outbound

This paper cites Nekrashevych, Groups and topological dynamics, American Mathematical Society, Prov- idence, RI, 223, xii–693, 2022.

Groups of finite type: classification and structural properties Nekrashevych, Groups and topological dynamics, American Mathematical Society, Prov- idence, RI, 223, xii–693, 2022

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:38:11.120886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.757780Z digest=sha256:8c9019741240e760fe0e23f086e66fa2c31e4c92dddea931f41f19b832f10737

Observation feaa3cfb-f8a6-4ac2-8377-b6312b1e11d8 · outbound

This paper cites Nikolov and D.

Groups of finite type: classification and structural properties Nikolov and D

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:38:11.112409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.760280Z digest=sha256:881923ff706cec2d5f445c10edad266a48fd7acd3b8b016b6a53cb5ad51fc44c

Observation bfdfebf5-b3b3-441f-8cb2-53425d9f40e2 · outbound

This paper cites Nearly Maximal Hausdorff Dimension in Finitely Constrained Groups.

Groups of finite type: classification and structural properties Nearly Maximal Hausdorff Dimension in Finitely Constrained Groups

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-05T10:38:10.872636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.762839Z digest=sha256:511769709deaa0e6a183788b8692cbadfee678b4c16501e3cc26c088073d27fb

Observation 0bca3a96-57f1-4487-a1be-0827faa56e8c · outbound

This paper cites Penland and Z.

Groups of finite type: classification and structural properties Penland and Z

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:38:11.104303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.765603Z digest=sha256:c90e4f3f6192a2b5b6a61111a097a75d76c91b6fc514ac65e02bee803fdde2c4

Observation a1f2cb6b-f737-4cb4-a531-817dc2b84afb · outbound

This paper cites an unresolved cited work.

Groups of finite type: classification and structural properties Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:38:11.096397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.768079Z digest=sha256:6e2d91ca0119866a135013b3faa3758c6781cb404419d5753630fe56d63b5761

Observation 0b3f59e2-d3f3-4818-bf3d-ca0dec00c859 · outbound

This paper cites Pletch, Strong completeness in profinite groups, Pacific Journal of Mathematics , 97 (1), 203–208, 1981.

Groups of finite type: classification and structural properties Pletch, Strong completeness in profinite groups, Pacific Journal of Mathematics , 97 (1), 203–208, 1981

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:38:11.088675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.770708Z digest=sha256:1b48b16f91e5126e4900de6f68f901a33db66849d23c6e36c92562a060579796

Observation 122dbac0-4d11-4c30-9b66-873306cbd9d7 · outbound

This paper cites A family of level-transitive groups with positive fixed-point proportion and positive Hausdorff dimension.

Groups of finite type: classification and structural properties A family of level-transitive groups with positive fixed-point proportion and positive Hausdorff dimension

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-05T10:38:10.860550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.773187Z digest=sha256:a76082e56832e622e1cc5c7b8c79605776fad3d165f2766ff87846ef6e8a4c51

Observation aa1b2789-545c-4d7c-8889-a4b610fc923b · outbound

This paper cites A just-infinite iterated monodromy group without the congruence subgroup property.

Groups of finite type: classification and structural properties A just-infinite iterated monodromy group without the congruence subgroup property

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-05T10:38:10.848900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.776488Z digest=sha256:dc6c9db29cde699850c8c1b719ff661934d21c93de2b5972e110aeda02bf6e4d

Observation 80334b9a-886a-41fb-9a22-3218555cb19e · outbound

This paper cites Ribes and P.

Groups of finite type: classification and structural properties Ribes and P

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:38:11.080143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.779518Z digest=sha256:3743ad3c3f1d8099143db47e7326a31deec91b2c7a37a8f94e1a3464d7314c6c

Observation 8de57630-0dd0-49da-8c16-085b74680b86 · outbound

This paper cites Serre, Galois cohomology, Springer-Verlag, Berlin, x–210, 1997.

Groups of finite type: classification and structural properties Serre, Galois cohomology, Springer-Verlag, Berlin, x–210, 1997

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:38:11.071899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.782355Z digest=sha256:8c83e30785c4a010c5fe1d47d1ad5e43190536c644a9397bcea9a0d812ec0a9b

Observation e30cb019-de6c-4189-968b-c2174f3b8c36 · outbound

This paper cites Siegenthaler, Hausdorff dimension of some groups acting on the binary tree, Journal of Group Theory, 11 (4), 555–567, 2008.

Groups of finite type: classification and structural properties Siegenthaler, Hausdorff dimension of some groups acting on the binary tree, Journal of Group Theory, 11 (4), 555–567, 2008

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:38:11.063568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.785071Z digest=sha256:502e5734d09ae0d9f6110734872e843b1fbbde38dfed4b34c971376bfa452109

Observation 1e82ea23-e577-4f09-a9e9-00a81dd1d610 · outbound

This paper cites Skipper, On a Generalization of the Hanoi Towers Group, ProQuest LLC, Ann Arbor, MI, 1–58, 2018.

Groups of finite type: classification and structural properties Skipper, On a Generalization of the Hanoi Towers Group, ProQuest LLC, Ann Arbor, MI, 1–58, 2018

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:38:11.055077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.787907Z digest=sha256:b2603defc0e89291f63b1fa52d1657ef6fa7832a12df8f817f21a59dc5a953e4

Observation bfc7fa6c-4f77-45e8-8763-4e431080a092 · outbound

This paper cites ˇSuni´ c, Hausdorff dimension in a family of self-similar groups, Geometriae Dedicata, 124, 213–236, 2007.

Groups of finite type: classification and structural properties ˇSuni´ c, Hausdorff dimension in a family of self-similar groups, Geometriae Dedicata, 124, 213–236, 2007

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:38:11.046782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.790613Z digest=sha256:bf413ab9fca2a26202f1e9efaf738ad90b3a5bc70dc9a3684d7b935ec328ed42

Observation 3a91a4d7-9aad-47e9-9b04-aabe619afc6a · outbound

This paper cites ˇSuni´ c, Pattern closure of groups of tree automorphisms,Bulletin of Mathematical Sciences, 1 (1), 115–127, 2011.

Groups of finite type: classification and structural properties ˇSuni´ c, Pattern closure of groups of tree automorphisms,Bulletin of Mathematical Sciences, 1 (1), 115–127, 2011

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:38:11.038080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.793265Z digest=sha256:11db3f347a11c114071653a46c6fc7161aee96b85282fba4a87c7aa23eeef177

Observation 4691a730-6da4-4bdf-9890-b8d29daef91f · outbound

This paper cites On the concept of fractality for groups of automorphisms of a regular rooted tree.

Groups of finite type: classification and structural properties On the concept of fractality for groups of automorphisms of a regular rooted tree

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-08-05T10:38:10.836198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.795821Z digest=sha256:b3445f2722877c0e92ab891aab3cfcc90dc58bdc9d431ef15fb1f002a5150bc3

Observation f41b8201-cf97-4915-9cc1-e88ceffab9f0 · outbound

This paper cites an unresolved cited work.

Groups of finite type: classification and structural properties Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:38:11.029439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.798754Z digest=sha256:99c3e7e7702429228674a25926976d9751fb3c31b7cfa56fdf9f0b35a6199806

Observation bcf2e732-7517-4fd5-8456-69d8c3ce6522 · outbound

This paper cites an unresolved cited work.

Groups of finite type: classification and structural properties Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:38:11.021456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.801318Z digest=sha256:e366ae475d6824d8ed227059614996dfda1e2713ea316ba83ce5d699eb5aa2ea

Observation 4742e1a4-29fb-4ba0-a3f2-cb30f3675fac · outbound

This paper cites Email address : santiradi@tamu.edu.

Groups of finite type: classification and structural properties Email address : santiradi@tamu.edu

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:38:11.012852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T10:38:10.803839Z digest=sha256:e8573b3c28221f23241f58f5190032db667ef9eeebab5f44bfec7b25be2b99db

Pith citing papers

No inbound Pith citation observations are available.