Paper Citation Record · LEDGER

Higman--Thompson groups $F_n$ all the way down

As of 23 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2607.04038.

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

pith.paper-citation-record.v1
2607.04038 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T22:07:35.763269Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T08:02:46.219486Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

40 of 40 outbound references displayed

verified exact0
verified fuzzy0
unresolved40
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 594d75ae-8f58-430d-962c-41688d7c80d6 · outbound

This paper cites Aiello,On the Alexander theorem for the oriented Thompson group⃗F, Algebr.

Higman--Thompson groups $F_n$ all the way down Aiello,On the Alexander theorem for the oriented Thompson group⃗F, Algebr

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Unavailable: canonical work link unavailable.

Observation efd80283-7bd9-4815-8b9f-79703f338928 · outbound

This paper cites 3, 2340002.

Higman--Thompson groups $F_n$ all the way down 3, 2340002

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation 3932f4d4-0a49-495e-b4ba-d3c0d53f992a · outbound

This paper cites Aiello and T.

Higman--Thompson groups $F_n$ all the way down Aiello and T

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation b2bf01bd-cab7-44ed-8e92-79176cc5b108 · outbound

This paper cites Aiello and T.

Higman--Thompson groups $F_n$ all the way down Aiello and T

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation 63f6c7df-720a-40c2-a27d-bcde3e3a6810 · outbound

This paper cites Pseudo-$F_4$ is isomorphic to $F_4$.

Higman--Thompson groups $F_n$ all the way down Pseudo-$F_4$ is isomorphic to $F_4$

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation 7538e6e5-52d6-4262-9a12-5aba6e98b3a7 · outbound

This paper cites Bleak, M.

Higman--Thompson groups $F_n$ all the way down Bleak, M

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

Source-reported events for the cited work

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Observation 4bc02527-784c-4dd6-9009-ff2078e429a4 · outbound

This paper cites Bleak, P.

Higman--Thompson groups $F_n$ all the way down Bleak, P

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

Source-reported events for the cited work

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Observation c2436851-5ede-40b8-9c56-e06247aafe57 · outbound

This paper cites Bleak and D.

Higman--Thompson groups $F_n$ all the way down Bleak and D

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Unavailable: canonical work link unavailable.

Observation bdf862e4-5b2f-42a7-863c-e31de558383b · outbound

This paper cites Brin,Elementary amenable subgroups of R.

Higman--Thompson groups $F_n$ all the way down Brin,Elementary amenable subgroups of R

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation 7a4a828b-f70b-4294-af1b-4b259b99c6b7 · outbound

This paper cites an unresolved cited work.

Higman--Thompson groups $F_n$ all the way down Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

Source-reported events for the cited work

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Observation 621880be-0c4d-4bfd-84d6-874fc42320dd · outbound

This paper cites an unresolved cited work.

Higman--Thompson groups $F_n$ all the way down Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation 5d1ec34e-6685-496f-9ffd-27d5478bf6f4 · outbound

This paper cites an unresolved cited work.

Higman--Thompson groups $F_n$ all the way down Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation f152211d-bf5c-4183-9803-d7ff4ef0900c · outbound

This paper cites Locally moving groups and laminar actions on the line.

Higman--Thompson groups $F_n$ all the way down Locally moving groups and laminar actions on the line

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation e5859426-4fad-4440-85af-da0d5c6f1a3f · outbound

This paper cites Burillo, K.-U.

Higman--Thompson groups $F_n$ all the way down Burillo, K.-U

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation 1259af05-ea20-4681-87f9-742c8efbb707 · outbound

This paper cites an unresolved cited work.

Higman--Thompson groups $F_n$ all the way down Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation f3fe6a93-3b27-4316-a68b-5c86ede85393 · outbound

This paper cites Golan and M.

Higman--Thompson groups $F_n$ all the way down Golan and M

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation 98484865-c9c8-4577-8333-31b6c61eb8d0 · outbound

This paper cites Golan and M.

Higman--Thompson groups $F_n$ all the way down Golan and M

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation e14ade70-f27d-4d6c-8947-326595d09e44 · outbound

This paper cites Golan-Polak and M.

Higman--Thompson groups $F_n$ all the way down Golan-Polak and M

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation 1571ed70-1895-478d-9bef-3298a7060a97 · outbound

This paper cites The generation problem in Thompson group $F$.

Higman--Thompson groups $F_n$ all the way down The generation problem in Thompson group $F$

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation 851214ae-16b0-4e9e-a816-5050a100afe0 · outbound

This paper cites On Maximal Subgroups of Thompson's Group $F$.

Higman--Thompson groups $F_n$ all the way down On Maximal Subgroups of Thompson's Group $F$

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation 18f53b4f-a851-4355-a486-ccce7fbe8908 · outbound

This paper cites Golan and M.

Higman--Thompson groups $F_n$ all the way down Golan and M

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04a7e410-080b-4e70-a487-11d2017df31b · outbound

This paper cites On the generation problem in Thompson's groups $F_n$.

Higman--Thompson groups $F_n$ all the way down On the generation problem in Thompson's groups $F_n$

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation fd2677e7-53b6-4ac5-aded-7e7192ca9446 · outbound

This paper cites Grigorchuk, V.

Higman--Thompson groups $F_n$ all the way down Grigorchuk, V

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation 2397384a-ea00-4872-a904-474952eb2f35 · outbound

This paper cites an unresolved cited work.

Higman--Thompson groups $F_n$ all the way down Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Unavailable: canonical work link unavailable.

Observation 0d8fc889-0bb7-474f-bf98-c17fc3dbbba8 · outbound

This paper cites Guba and M.

Higman--Thompson groups $F_n$ all the way down Guba and M

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation 1a537ed8-6988-453f-8751-028bb19357f9 · outbound

This paper cites Guba and M.

Higman--Thompson groups $F_n$ all the way down Guba and M

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation 73fe3550-1770-4508-ad39-001483b84ff2 · outbound

This paper cites an unresolved cited work.

Higman--Thompson groups $F_n$ all the way down Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation eb7a3edb-a568-4c4b-8d9d-a69f5156154d · outbound

This paper cites an unresolved cited work.

Higman--Thompson groups $F_n$ all the way down Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation e1a6d9a2-6649-475e-b960-5c72a1f89d20 · outbound

This paper cites an unresolved cited work.

Higman--Thompson groups $F_n$ all the way down Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6ec2cf7-45e8-4be6-9a31-b06c033d3345 · outbound

This paper cites an unresolved cited work.

Higman--Thompson groups $F_n$ all the way down Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation cb665e27-90ea-4597-8bac-eb1f948b6bf1 · outbound

This paper cites an unresolved cited work.

Higman--Thompson groups $F_n$ all the way down Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation fc3b24fb-bf93-45fa-9e32-03f25266af38 · outbound

This paper cites an unresolved cited work.

Higman--Thompson groups $F_n$ all the way down Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation cdac82cb-66b1-4888-8bed-6d66e0cdd9bd · outbound

This paper cites Navas,Quelques groupes moyennables de difféomorphismes de l’intervalle.

Higman--Thompson groups $F_n$ all the way down Navas,Quelques groupes moyennables de difféomorphismes de l’intervalle

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation 497da069-9397-428f-a789-34597f294589 · outbound

This paper cites Navas,Groups of Circle Diffeomorphisms, Chicago Lectures in Mathematics, University of Chicago Press, 2011.

Higman--Thompson groups $F_n$ all the way down Navas,Groups of Circle Diffeomorphisms, Chicago Lectures in Mathematics, University of Chicago Press, 2011

Reference 34

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation 3d2a5476-41b3-46e9-9249-80cd74b8d67f · outbound

This paper cites Olukoya,Automorphisms of the generalised Thompson’s groupTn,rand theR∞property, Trans.

Higman--Thompson groups $F_n$ all the way down Olukoya,Automorphisms of the generalised Thompson’s groupTn,rand theR∞property, Trans

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation 68e0e6f2-d712-45e4-b20a-a8898048b2dc · outbound

This paper cites Ren,From skein theory to presentations for Thompson group, J.

Higman--Thompson groups $F_n$ all the way down Ren,From skein theory to presentations for Thompson group, J

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Unavailable: canonical work link unavailable.

Observation 463a988d-523e-4fc7-beef-685d27a04597 · outbound

This paper cites Savchuk,Some graphs related to Thompson’s groupF, inCombinatorial and Geometric Group Theory, Trends Math., Birkhäuser/Springer Basel AG, Basel, 2010, 279–296.

Higman--Thompson groups $F_n$ all the way down Savchuk,Some graphs related to Thompson’s groupF, inCombinatorial and Geometric Group Theory, Trends Math., Birkhäuser/Springer Basel AG, Basel, 2010, 279–296

Reference 37

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation 76e0b33e-bb9a-41ab-bf92-ea4656c77196 · outbound

This paper cites Savchuk,Schreier graphs of actions of Thompson’s groupFon the unit interval and on the Cantor set, Geom.

Higman--Thompson groups $F_n$ all the way down Savchuk,Schreier graphs of actions of Thompson’s groupFon the unit interval and on the Cantor set, Geom

Reference 38

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation a5504448-c0ee-4f45-80e7-18c79d461f92 · outbound

This paper cites Sipser,Introduction to the Theory of Computation, 3rd ed., Cengage Learning, 2012.

Higman--Thompson groups $F_n$ all the way down Sipser,Introduction to the Theory of Computation, 3rd ed., Cengage Learning, 2012

Reference 39

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Observation 467a1f32-b047-4238-9648-969efd7a3bb6 · outbound

This paper cites an unresolved cited work.

Higman--Thompson groups $F_n$ all the way down Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

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Pith citing papers

Observation 0ceebd83-68e2-4bb3-96d2-08ec31480010 · inbound

Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$ cites this paper.

Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$ Higman--Thompson groups $F_n$ all the way down

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T08:02:46.219486Z

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