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Paper Citation Record · LEDGER

Thompson-like characterization of solubility for products of finite groups

As of 16 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:1908.03347.

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

pith.paper-citation-record.v1
1908.03347 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:27:31.335951Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

41 of 41 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 073c9bef-cac5-48d5-81cf-34b4d1648e70 · outbound

This paper cites an unresolved cited work.

Thompson-like characterization of solubility for products of finite groups Unresolved cited work

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 12c75cf9-a0c0-4c74-8f5c-f5e24d6d4009 · outbound

This paper cites Amberg, A.

Thompson-like characterization of solubility for products of finite groups Amberg, A

Reference 2

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f6fe5b9c-4280-4e55-9660-3e930d19da76 · outbound

This paper cites Amberg, S.

Thompson-like characterization of solubility for products of finite groups Amberg, S

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 67ee081a-f5a4-41d7-9c0a-276847ed0e94 · outbound

This paper cites Amberg, L.

Thompson-like characterization of solubility for products of finite groups Amberg, L

Reference 4

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ef200b95-0a72-4824-879a-4af497504a79 · outbound

This paper cites Asaad and A.

Thompson-like characterization of solubility for products of finite groups Asaad and A

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 880e62ad-26a3-44ad-a56d-02efd080d42e · outbound

This paper cites Baer, Supersoluble immersion.

Thompson-like characterization of solubility for products of finite groups Baer, Supersoluble immersion

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.978877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 576ae120-60c9-41d5-afe2-ac95e5b801eb · outbound

This paper cites Ballester-Bolinches, L.

Thompson-like characterization of solubility for products of finite groups Ballester-Bolinches, L

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e6c146d5-8855-420d-a002-6a8444d4c430 · outbound

This paper cites Ballester-Bolinches, M.

Thompson-like characterization of solubility for products of finite groups Ballester-Bolinches, M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.944107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1b230c6e-2d04-4729-830e-c5570ebe32ae · outbound

This paper cites Beidleman and H.

Thompson-like characterization of solubility for products of finite groups Beidleman and H

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.926818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 33bd243b-2269-440c-9a69-9f3b1ffde25e · outbound

This paper cites an unresolved cited work.

Thompson-like characterization of solubility for products of finite groups Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:31.909749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c8f61bae-62bb-4164-9b2c-bd4f40f257b2 · outbound

This paper cites Carocca, A note on the product of F-subgroups in a finite group.

Thompson-like characterization of solubility for products of finite groups Carocca, A note on the product of F-subgroups in a finite group

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.892076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:27:31.176780Z digest=sha256:3b3a01529780cb5dc3ebd4ede7dd9a34d7900c31cd3b838f7d6c037d4e560f68

Observation 978b96bc-8479-40d1-9911-c99e2787a7da · outbound

This paper cites Carocca, Solvability of factorized finite groups.

Thompson-like characterization of solubility for products of finite groups Carocca, Solvability of factorized finite groups

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 815aca31-396e-4950-af2f-c2da94a5bfd7 · outbound

This paper cites an unresolved cited work.

Thompson-like characterization of solubility for products of finite groups Unresolved cited work

Reference 13

Resolution
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raw_fallback, observed 2026-08-14T14:27:31.858514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 185dc0f9-24ec-461b-8889-4f1e8ecfdf70 · outbound

This paper cites an unresolved cited work.

Thompson-like characterization of solubility for products of finite groups Unresolved cited work

Reference 14

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 894b9db0-5c6f-4bd7-b57c-275b4575eb24 · outbound

This paper cites Doerk, T.

Thompson-like characterization of solubility for products of finite groups Doerk, T

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation aebd4bb5-0370-4be1-a3ed-ac92f1854e87 · outbound

This paper cites an unresolved cited work.

Thompson-like characterization of solubility for products of finite groups Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:31.806177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation dcbe078c-41f5-4286-a9d1-e14d317b70ec · outbound

This paper cites an unresolved cited work.

Thompson-like characterization of solubility for products of finite groups Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:31.790101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6468e0cf-5da1-4516-83b4-a9fc04729274 · outbound

This paper cites an unresolved cited work.

Thompson-like characterization of solubility for products of finite groups Unresolved cited work

Reference 18

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5e0b963c-b3fa-4c13-b1bb-7673a0879169 · outbound

This paper cites an unresolved cited work.

Thompson-like characterization of solubility for products of finite groups Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:31.756564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 151c8d0a-0cf3-4c82-8068-e066a976c0ba · outbound

This paper cites an unresolved cited work.

Thompson-like characterization of solubility for products of finite groups Unresolved cited work

Reference 20

Resolution
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raw_fallback, observed 2026-08-14T14:27:31.740575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c93003a4-189b-410f-8afb-408aec7a3ea8 · outbound

This paper cites an unresolved cited work.

Thompson-like characterization of solubility for products of finite groups Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:31.724082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a3d3e6a4-b029-4f68-9d14-9857bb16181e · outbound

This paper cites Gordeev, F.

Thompson-like characterization of solubility for products of finite groups Gordeev, F

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.707095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 75a983cb-0c56-412a-bc3e-49fb12b33853 · outbound

This paper cites Gordeev, F.

Thompson-like characterization of solubility for products of finite groups Gordeev, F

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.688175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 81833d75-2c14-40bd-87a2-0f9102d78dbf · outbound

This paper cites Guest, A solvable version of the Baer-Suzuki theorem.

Thompson-like characterization of solubility for products of finite groups Guest, A solvable version of the Baer-Suzuki theorem

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.670171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3c401372-ba31-4d77-bf6e-96cdfdca4884 · outbound

This paper cites Guest, D.

Thompson-like characterization of solubility for products of finite groups Guest, D

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.653075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5202f8d3-560b-4860-ba69-32ef45e30df7 · outbound

This paper cites Guralnick, B.

Thompson-like characterization of solubility for products of finite groups Guralnick, B

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.636507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation da098d04-e6d6-44ca-a9cf-d90dbfb0f88d · outbound

This paper cites Grunewald, B.

Thompson-like characterization of solubility for products of finite groups Grunewald, B

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.619623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7c611181-bf89-4a62-a136-13001279c9be · outbound

This paper cites Hauck, A.

Thompson-like characterization of solubility for products of finite groups Hauck, A

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.603346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:27:31.267804Z digest=sha256:69f56b2031e08d44b2a19ef1f277bc9a5b85d8455cdc2e6e0dbfd75fa4fd4b07

Observation e7fffc97-480f-4ee3-b4fc-72c16b519391 · outbound

This paper cites Hering, M.

Thompson-like characterization of solubility for products of finite groups Hering, M

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.586713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2436c713-da5c-494a-973e-c58a922cd51e · outbound

This paper cites Huppert, Zweifach transitive, au߬ osbare Permutat ionsgruppen.

Thompson-like characterization of solubility for products of finite groups Huppert, Zweifach transitive, au߬ osbare Permutat ionsgruppen

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.570178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:27:31.278176Z digest=sha256:40b6877f5fffa4c981e0ea13d97fc310aecc13b6276ffb9b3a6e1294ed2a9964

Observation 334a29d7-0622-43db-b01f-91ba6699188b · outbound

This paper cites Huppert, Endliche Gruppen I.

Thompson-like characterization of solubility for products of finite groups Huppert, Endliche Gruppen I

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.553817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:27:31.283383Z digest=sha256:c052ae8ddd64b06b916724850f4188706f135d71710e5c18e28b8f364bf805d7

Observation e38f6679-ccbe-464d-89c3-5ea2afab6fa6 · outbound

This paper cites Iiyory, p-Solvability and a generalization of prime graphs of finite groups.

Thompson-like characterization of solubility for products of finite groups Iiyory, p-Solvability and a generalization of prime graphs of finite groups

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.537702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:27:31.289397Z digest=sha256:6b4a30864f7058339bd2f5383a4c981941ec2eebce58aeca6ad8f21f79e3cdad

Observation 04233eb3-6537-42e4-b9d5-9b1c4249ccda · outbound

This paper cites Kleidman, M.

Thompson-like characterization of solubility for products of finite groups Kleidman, M

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.521013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:27:31.294605Z digest=sha256:7901c9ba622682611f70ec9f804d4afc6ae6b0445e5706ae8595e1ac02e2bc58

Observation 2a154d62-aeab-47d3-b02c-7dfc0fce5c25 · outbound

This paper cites an unresolved cited work.

Thompson-like characterization of solubility for products of finite groups Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:31.504459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:27:31.299545Z digest=sha256:3fe8180b7c2513b96553a3802acb57a2f18b59d591489648a285ddd98b005930

Observation 2e9a2aa4-8462-40da-b187-b190e0f357af · outbound

This paper cites Maier, A completeness property of certain formation s.

Thompson-like characterization of solubility for products of finite groups Maier, A completeness property of certain formation s

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.487222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:27:31.304179Z digest=sha256:c8e747574124f63691549cb6cadf78a1ad1d8827982308b72cc8f715fe9ec7c5

Observation 46482148-b343-47d3-b13b-6c473cd60b51 · outbound

This paper cites Malle, J.

Thompson-like characterization of solubility for products of finite groups Malle, J

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.469503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:27:31.309140Z digest=sha256:76dfe486d8e33f3c2677ca406a7df208b182d65e503e2c13186f54d5dd144f5a

Observation 76cfa22a-32ee-4fb3-b028-06b809ddee39 · outbound

This paper cites Ramanujan, A proof of Bertrand’s postulate.

Thompson-like characterization of solubility for products of finite groups Ramanujan, A proof of Bertrand’s postulate

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.451918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:27:31.315517Z digest=sha256:b1a5fd63c1bb6db71d248ca02a11a971da335c18c5365abe7d960e081ac49ff6

Observation 4d8ae7e6-ceb5-4cde-add2-f3fd3a69f82d · outbound

This paper cites Thompson, Nonsolvable finite groups all of whose loca l subgroups are solvable.

Thompson-like characterization of solubility for products of finite groups Thompson, Nonsolvable finite groups all of whose loca l subgroups are solvable

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.434490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:27:31.320559Z digest=sha256:1f3993a21dc6f9b5f77709afd0c4ad6a9c59c5388ec23c75008f7f459b2a3261

Observation 2513cc70-9734-4f93-a9cd-6d4f1647511e · outbound

This paper cites Wiegold, A.

Thompson-like characterization of solubility for products of finite groups Wiegold, A

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.416382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:27:31.325300Z digest=sha256:8b87730ab676e78368c44e38d804d531bf35e9e33a101b7131e613eb9a296b67

Observation 4c35f170-781d-4429-8d2b-e81e5d4f4b4a · outbound

This paper cites Zorn, Nilpotency of finite groups.

Thompson-like characterization of solubility for products of finite groups Zorn, Nilpotency of finite groups

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.397033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:27:31.331075Z digest=sha256:541c67da2cb9b5a581de5097f9f80c05366dc05c2cc83992c48c0d6ac2627e86

Observation 20843e34-43a9-4873-b880-f053ac806ec1 · outbound

This paper cites Zsigmondy, Zur Theorie der Potenzreste.

Thompson-like characterization of solubility for products of finite groups Zsigmondy, Zur Theorie der Potenzreste

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:31.378397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:27:31.335951Z digest=sha256:9aa342eead2a02c50c8ccabc8d0e3e217115ba25dc78ee38e05b67785f4f3110

Pith citing papers

No inbound Pith citation observations are available.