Paper Citation Record · LEDGER

On a problem of B. Hartley about a small centralizer in finite and locally finite groups

As of 8 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2505.20999.

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

pith.paper-citation-record.v1
2505.20999 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:57:53.535607Z

measured 40 of 40 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

40 of 40 outbound references displayed

verified exact0
verified fuzzy25
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 27c01161-0c45-48d4-81f1-3abd0bb8b846 · outbound

This paper cites Acciarri, E.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Acciarri, E

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:59.240190Z

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.

Observation 7a2628da-9ccc-4bb2-812c-c7db9be524ae · outbound

This paper cites an unresolved cited work.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:57:59.157337Z

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.

Observation 30094c4c-1c15-418d-adb7-9ea43124557c · outbound

This paper cites an unresolved cited work.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:57:58.984251Z

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.

Observation 093518b1-0e86-47b4-ba14-332eb41bbdaf · outbound

This paper cites Brauer and K.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Brauer and K

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:58.833403Z

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.

Observation 69f7602f-1283-4a45-b5c6-1c66b6b7d277 · outbound

This paper cites Busetto and E.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Busetto and E

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:58.648571Z

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.

Observation f3727345-5978-4db4-a81d-7ff3239894b9 · outbound

This paper cites an unresolved cited work.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:57:58.415682Z

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.

Observation 490451b2-fc1a-4a6f-8bc0-ab586501fd75 · outbound

This paper cites Ercan, On a Fitting length conjecture without the coprimeness condition , Monatsh.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Ercan, On a Fitting length conjecture without the coprimeness condition , Monatsh

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:58.169929Z

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.

Observation 8c35bcd2-c45b-43a2-b0f0-059351524803 · outbound

This paper cites Ercan and ˙I.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Ercan and ˙I

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:57.923448Z

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.

Observation b2c4e155-549c-497e-ab10-0859d48f6247 · outbound

This paper cites Ercan and ˙I.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Ercan and ˙I

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:57.762622Z

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.

Observation 0b37bd69-4c39-4ec6-a573-58bf07536097 · outbound

This paper cites Hartley, A general Brauer–Fowler theorem and centralizers in locally finite groups , Pacific J.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Hartley, A general Brauer–Fowler theorem and centralizers in locally finite groups , Pacific J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:57.614610Z

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.

Observation 609f5313-1591-4e4d-8982-e2039ff61bab · outbound

This paper cites Hartley, Automorphisms of finite soluble groups.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Hartley, Automorphisms of finite soluble groups

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:57.458375Z

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.

Observation f5505703-b69e-4ef1-a2b3-b6ac6e33aa8a · outbound

This paper cites Hartley and I.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Hartley and I

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:57.277794Z

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.

Observation cb206cbc-b8fe-44cd-abee-ddcb99de3ee0 · outbound

This paper cites Hartley and V.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Hartley and V

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:57.138497Z

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.

Observation 95f5de5b-8df4-479d-b935-92a2b3575f1d · outbound

This paper cites Higman, Groups and rings which have automorphisms without non-trivial fixed elements , J.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Higman, Groups and rings which have automorphisms without non-trivial fixed elements , J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:57.050640Z

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.

Observation cd01141f-5a85-45c3-8e48-358fea7b6cb7 · outbound

This paper cites Jabara, The Fitting length of finite soluble groups II.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Jabara, The Fitting length of finite soluble groups II

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:56.869977Z

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.

Observation 7ba99bd1-b25a-4a80-99ab-4b4b2ebc89db · outbound

This paper cites Jaikin-Zapirain, On almost regular automorphisms of finite p-groups, Adv.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Jaikin-Zapirain, On almost regular automorphisms of finite p-groups, Adv

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:56.767675Z

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.

Observation 68ebcc8c-52e5-4ee5-8e49-5cef63ff41ff · outbound

This paper cites Jaikin-Zapirain, Finite groups of bounded rank with an almost regular automorphism , Isr.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Jaikin-Zapirain, Finite groups of bounded rank with an almost regular automorphism , Isr

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:56.658753Z

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.

Observation 1e51bd30-72bd-45c4-b534-e48ffec09b7b · outbound

This paper cites an unresolved cited work.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:57:56.512417Z

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.

Observation 12fd0e04-7d5f-4a8c-a662-6f09f6094358 · outbound

This paper cites an unresolved cited work.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:57:56.391167Z

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.

Observation e14f50ec-0443-45d1-93e3-2d8553970a7e · outbound

This paper cites an unresolved cited work.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:57:56.285635Z

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.

Observation 564f42bd-553f-4c46-b5f1-24ccd2af1c80 · outbound

This paper cites an unresolved cited work.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:57:56.130228Z

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.

Observation 550e7a2d-c9df-447a-85db-e040a159c6d4 · outbound

This paper cites an unresolved cited work.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:57:56.004737Z

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.

Observation 9dff0c81-60b7-4ee9-8e54-a4a4a599ee81 · outbound

This paper cites Khukhro and V.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Khukhro and V

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:55.830443Z

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.

Observation 132a2dfb-15a2-4c5f-8d94-44ff23970000 · outbound

This paper cites an unresolved cited work.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:57:55.735042Z

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.

Observation de74511c-c9fd-42ba-bb84-b11099dfeb24 · outbound

This paper cites an unresolved cited work.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:57:55.591846Z

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.

Observation 00780fd7-133c-4f92-a16a-82f4cdbb38dd · outbound

This paper cites an unresolved cited work.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:57:55.435585Z

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.

Observation c308433d-5747-4094-8f1c-957e141e0877 · outbound

This paper cites an unresolved cited work.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:57:55.300073Z

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.

Observation 85668671-c391-45e8-a9f8-dfc646c9b6b9 · outbound

This paper cites an unresolved cited work.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:57:55.195137Z

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.

Observation ce46e9cf-4b75-42af-a7e4-0cdeecf10d8e · outbound

This paper cites Kurzweil, Eine Verallgemeinerung von fixpunktfreien Automorphismen endlicher Gruppen , Arch.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Kurzweil, Eine Verallgemeinerung von fixpunktfreien Automorphismen endlicher Gruppen , Arch

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:55.130422Z

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.

Observation 008ecdcf-baf6-4b13-ae2d-d1086deb3741 · outbound

This paper cites an unresolved cited work.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:57:55.020135Z

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.

Observation c66b134a-664d-4b59-8ba8-4ab678a37b69 · outbound

This paper cites an unresolved cited work.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:57:54.894667Z

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.

Observation e11e1d53-133e-46f3-9c76-bdfb92b89eac · outbound

This paper cites Medvedev, p-Divided Lie rings and p-groups, J.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Medvedev, p-Divided Lie rings and p-groups, J

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:54.804769Z

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.

Observation 18c0fe92-a58b-4148-894b-a02d74de1c3c · outbound

This paper cites Shalev, On almost fixed point free automorphisms , J.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Shalev, On almost fixed point free automorphisms , J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:54.730197Z

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.

Observation b887bfc3-0ae2-4aea-b13b-96362ec507bb · outbound

This paper cites Shalev, Profinite groups with restricted centralizers , Proc.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Shalev, Profinite groups with restricted centralizers , Proc

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:54.623402Z

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.

Observation b49fcf37-dabc-41ef-8c56-eb22703f61e2 · outbound

This paper cites Shalev, Centralizers in residually finite torsion groups , Proc.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Shalev, Centralizers in residually finite torsion groups , Proc

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:54.470088Z

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.

Observation 820afff7-4859-410e-8599-d338a68e6f0d · outbound

This paper cites Shalev and E.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Shalev and E

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:54.290753Z

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.

Observation 187726cc-fa71-4d1a-a17a-7bc409ea6273 · outbound

This paper cites Shumyatsky, On pro- p groups admitting a fixed-point-free automorphism , J.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Shumyatsky, On pro- p groups admitting a fixed-point-free automorphism , J

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:54.152029Z

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.

Observation 88cdb9cd-a662-4d54-9c1b-4667dc5ff2d3 · outbound

This paper cites Thompson, Finite groups with fixed-point-free automorphisms of prime order , Proc.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Thompson, Finite groups with fixed-point-free automorphisms of prime order , Proc

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:53.956443Z

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.

Observation 10503fe0-3e7d-4d17-8c2f-8e0eea5065c2 · outbound

This paper cites Thompson, Automorphisms of solvable groups , J.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Thompson, Automorphisms of solvable groups , J

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:53.822226Z

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.

Observation a5dbd52b-0737-46fe-90b9-52809400c660 · outbound

This paper cites Turull, Fitting height of groups and of fixed points , J.

On a problem of B. Hartley about a small centralizer in finite and locally finite groups Turull, Fitting height of groups and of fixed points , J

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:57:53.695493Z

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.

Pith citing papers

No inbound Pith citation observations are available.