Paper Citation Record · LEDGER

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries

As of 7 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2505.24662.

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

pith.paper-citation-record.v1
2505.24662 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:36:30.520325Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

37 of 37 outbound references displayed

verified exact0
verified fuzzy35
unresolved2
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fae71b83-127c-408f-b499-cefe63e73b06 · outbound

This paper cites Sur les analogues alg´ ebriques des groupes semi-simples complexes,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Sur les analogues alg´ ebriques des groupes semi-simples complexes,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:37.111075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ea6c0a4d-14e5-4697-9c41-ede72be12763 · outbound

This paper cites G´ eom´ etries poly´ edriques et groupes simples,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries G´ eom´ etries poly´ edriques et groupes simples,

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T12:36:27.271139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28fc58a8-b0fa-4a36-8457-9cb0fa65cfa1 · outbound

This paper cites Buekenhout, ed., Handbook of incidence geometry.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Buekenhout, ed., Handbook of incidence geometry

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:36.992735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 47d38c0c-2fb2-4cab-b965-1daf534b9ea4 · outbound

This paper cites Tits, Buildings of spherical type and finite BN-pairs.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Tits, Buildings of spherical type and finite BN-pairs

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:36.849404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 884a808b-88d0-4590-b811-510c2779b025 · outbound

This paper cites Abramenko and K.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Abramenko and K

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:36.712117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2c8478a2-9363-4fea-bced-62e58be8424d · outbound

This paper cites On some bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries On some bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:36.472795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0bfcd9f3-342d-4d66-aec8-fec311093bc4 · outbound

This paper cites K( π, 1) and word problems for infinite type artin–tits groups, and applications to virtual braid groups,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries K( π, 1) and word problems for infinite type artin–tits groups, and applications to virtual braid groups,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:36.249317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fa1704b6-3af4-45e3-b7c9-fbfb3ecedee1 · outbound

This paper cites The K( π,1)-problem for hyperplane complements associated to infinite reflection groups,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries The K( π,1)-problem for hyperplane complements associated to infinite reflection groups,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:35.991909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d9981fca-da9d-4016-bbb3-b5f5b34493ef · outbound

This paper cites Topology of the complement of real hyperplanes in C N ,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Topology of the complement of real hyperplanes in C N ,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:35.819729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0af77ff2-4de7-4237-98dd-bfb36441f474 · outbound

This paper cites K( π,1) conjecture for artin groups,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries K( π,1) conjecture for artin groups,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:35.604235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b95741b2-a948-4c32-8c9a-53a1f3fb693f · outbound

This paper cites Highly symmetric hypertopes,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Highly symmetric hypertopes,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:35.445765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 49f61d06-6dd9-42a8-911d-e1c7e157fa40 · outbound

This paper cites Abelian covers of regular hypertopes,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Abelian covers of regular hypertopes,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:35.263418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1de288f5-7451-40c1-a40b-f8c44f52a4d5 · outbound

This paper cites Hexagonal extensions of toroidal maps and hypermaps,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Hexagonal extensions of toroidal maps and hypermaps,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:35.103373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 60e87a8d-4983-498d-b64c-af764ce7808f · outbound

This paper cites Constructing new geometries: A generalized ap- proach to halving for hypertopes,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Constructing new geometries: A generalized ap- proach to halving for hypertopes,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:34.943001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7fd6ce3a-c107-4bfa-95ec-0663231dcf00 · outbound

This paper cites Rank 4 toroidal hypertopes,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Rank 4 toroidal hypertopes,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:34.765297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 588cab0e-f4ea-4c30-82b1-af8b079db8cb · outbound

This paper cites Flag transitive geometries with trialities and no dualities coming from suzuki groups,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Flag transitive geometries with trialities and no dualities coming from suzuki groups,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:34.558108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 48fdc18d-9c93-4277-8d13-1b4f81ee38db · outbound

This paper cites Infinite families of hypertopes from centrally symmetric polytopes,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Infinite families of hypertopes from centrally symmetric polytopes,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:34.368579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4b3dd8b5-ee5a-4d6f-885d-b67327e9b91e · outbound

This paper cites Buekenhout and A.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Buekenhout and A

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:34.159613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7e9b998f-4d5c-46c1-ab8d-29849fd2160e · outbound

This paper cites McMullen and E.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries McMullen and E

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:33.993464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ebde315f-d927-4e16-983d-ea25e7281eee · outbound

This paper cites Generalized free products with amalgamated subgroups,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Generalized free products with amalgamated subgroups,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:33.826975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2d8c1341-72b2-4bc3-ab8e-7043cc271dbc · outbound

This paper cites Embedding theorems for groups,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Embedding theorems for groups,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:33.668663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 894606ca-2b8b-4a3d-a78b-7fa320b58e7f · outbound

This paper cites Serre, Trees.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Serre, Trees

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:33.514170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f2a022a0-a1cd-4d56-8ed0-73a3614b9bd5 · outbound

This paper cites A combination theorem for negatively curved groups,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries A combination theorem for negatively curved groups,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:33.349415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e645b7f7-2528-4f23-a678-6e6e69be8f73 · outbound

This paper cites Klein–maskit combination theorem for anosov subgroups: amalgams,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Klein–maskit combination theorem for anosov subgroups: amalgams,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:33.160896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4b4836ef-77af-483d-b621-3df072822600 · outbound

This paper cites On representation varieties of artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries On representation varieties of artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:32.975285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ae805431-9e48-4b3b-a6a4-a95f662ee4c3 · outbound

This paper cites CAT(0) and cubulated Shephard groups,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries CAT(0) and cubulated Shephard groups,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:32.787598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 395355a5-af01-4e04-90ec-857fb2069677 · outbound

This paper cites Finite unitary reflection groups,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Finite unitary reflection groups,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:32.635944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 06167edd-b0fd-4f50-a1e6-5f311fb5fe99 · outbound

This paper cites Simple dual braids, noncrossing partitions and Mikado braids of type Dn,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Simple dual braids, noncrossing partitions and Mikado braids of type Dn,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:32.445608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b44320f1-c583-4768-9058-8c8b9043ff08 · outbound

This paper cites Artin groups of Euclidean type,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Artin groups of Euclidean type,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:32.255469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1ffd3156-950e-4b31-9d1c-019732ef42ca · outbound

This paper cites Proof of the K(π, 1) conjecture for affine Artin groups,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Proof of the K(π, 1) conjecture for affine Artin groups,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:32.013186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ed9a6969-54cb-4043-b1bf-72aca67f7358 · outbound

This paper cites Pasini, Diagram Geometries.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Pasini, Diagram Geometries

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:31.806934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 656eef48-8d4d-4e40-bf28-5df98f71a9fb · outbound

This paper cites Bourbaki, Groupes et alg` ebres de Lie - Chapitres 4, 5 et 6.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Bourbaki, Groupes et alg` ebres de Lie - Chapitres 4, 5 et 6

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:31.634666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ffe56eb9-38b7-437c-bedf-00ec3a87c126 · outbound

This paper cites Van der Lek, The homotopy type of complex hyperplane complements.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Van der Lek, The homotopy type of complex hyperplane complements

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:31.403196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d0979374-2613-40df-9d56-75ab199969ff · outbound

This paper cites Magnus, A.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Magnus, A

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:31.222517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f61c47f6-b888-49a8-9b4a-d7389aa8ecc1 · outbound

This paper cites an unresolved cited work.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:36:31.029759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e5781967-0998-4a65-a00b-95ae3fee4d28 · outbound

This paper cites Generalized free products with amalgamated subgroups, part i,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries Generalized free products with amalgamated subgroups, part i,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:30.867743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 68525367-d202-4a68-b020-d80299bfc473 · outbound

This paper cites An atlas of small regular abstract polytopes,.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries An atlas of small regular abstract polytopes,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:36:30.698148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.