Paper Citation Record · LEDGER

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups

As of 22 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2607.01706.

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

pith.paper-citation-record.v1
2607.01706 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-03T04:27:01.680743Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

39 of 39 outbound references displayed

verified exact0
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unresolved13
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4fd1b249-5767-4fe6-8c97-875d487f2b9e · outbound

This paper cites an unresolved cited work.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-07-05T14:31:10.938835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f3b0e7a9-9ecc-4b8c-a05f-d4bb335c7f67 · outbound

This paper cites Carter, Finite Groups of Lie type: Conjugacy Classes and Complex Characters , Wiley, Chichester, 1985.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Carter, Finite Groups of Lie type: Conjugacy Classes and Complex Characters , Wiley, Chichester, 1985

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.864941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ef89aa1f-6dff-4871-93c5-7e9f06b98400 · outbound

This paper cites Digne and J.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Digne and J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.930477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dcae180c-eac8-4924-ade4-4349384a61a3 · outbound

This paper cites Dolfi, G.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Dolfi, G

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.903997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f0b16406-519c-4dbd-81b9-f51cbe6831ab · outbound

This paper cites Ennola, On the characters of the finite unitary groups, Ann.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Ennola, On the characters of the finite unitary groups, Ann

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.910900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0ddf22f5-8ee3-4a72-96f8-f8b8882ccafe · outbound

This paper cites Feit, Extending Steinberg characters, in: Linear algebraic groups and their representations, (Los Angeles, CA, 1992), Contemp.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Feit, Extending Steinberg characters, in: Linear algebraic groups and their representations, (Los Angeles, CA, 1992), Contemp

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.920305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d7f36249-745c-4cd7-99ba-09485acbc8bf · outbound

This paper cites an unresolved cited work.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-07-05T14:31:10.900708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d5715447-b0e6-49c9-b09b-80adaec5ab1c · outbound

This paper cites Geck, Irreducible Brauer characters of the 3 -dimensional special unitary groups in non-describing characteristic, Comm.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Geck, Irreducible Brauer characters of the 3 -dimensional special unitary groups in non-describing characteristic, Comm

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.907244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8e2d51c9-7268-47cf-b7c5-1da54bf857f9 · outbound

This paper cites Giannelli, S.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Giannelli, S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.932861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b82b5d16-f31f-441c-b60a-67eefb12572a · outbound

This paper cites Gorenstein, R.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Gorenstein, R

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.861021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e8fb1e00-b5fb-4d34-80c7-8fd07b0b998b · outbound

This paper cites Granville and K.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Granville and K

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.872821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 04d3cafe-0433-457a-932e-f387a9b597f6 · outbound

This paper cites an unresolved cited work.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-07-05T14:31:10.950875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6e7512f2-a443-410a-a9f8-923503d4a95a · outbound

This paper cites an unresolved cited work.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-07-05T14:31:10.928155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9edee29f-1472-4e02-b550-efedb6a4a520 · outbound

This paper cites Heide, J.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Heide, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.941474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 33b97874-e539-4209-96bb-87da0c21b15c · outbound

This paper cites an unresolved cited work.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-07-05T14:31:10.922882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 47e3574f-d2f4-4f34-804b-a55d22a965fc · outbound

This paper cites an unresolved cited work.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-07-05T14:31:10.953644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3ea90cce-a062-4fa3-a5cd-89c001de663a · outbound

This paper cites Javed, J.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Javed, J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:41:09.810085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 02535b4f-f427-4416-a618-b0f8ca8938f1 · outbound

This paper cites an unresolved cited work.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-07-05T14:41:09.819493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1b5e3498-3cc4-4eb8-9f1a-66f70b78bd28 · outbound

This paper cites an unresolved cited work.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-07-05T14:41:09.823503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c22613b2-2f07-4e8a-bb58-ff0252c31e7c · outbound

This paper cites an unresolved cited work.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-07-05T14:31:10.943910Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ccb51230-15a7-4cec-a655-987d32d3cc0e · outbound

This paper cites an unresolved cited work.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-07-05T14:31:10.905098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5c438df7-9bed-4a7d-8b05-f988120fc942 · outbound

This paper cites L\"ubeck, Elements of order 2 and 3 in exceptional groups of Lie type, https://www.math.rwth-aachen.de/ Frank.Luebeck/chev/23elts.html.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups L\"ubeck, Elements of order 2 and 3 in exceptional groups of Lie type, https://www.math.rwth-aachen.de/ Frank.Luebeck/chev/23elts.html

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.935689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7f7c2dc8-d0f0-436e-9cb5-471a1633a48e · outbound

This paper cites Lusztig, On the representations of reductive groups with disconnected centre, in: Orbites unipotentes et repr\'esentations.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Lusztig, On the representations of reductive groups with disconnected centre, in: Orbites unipotentes et repr\'esentations

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.914939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9f24d448-bf9d-49b3-bf9b-3236451abe38 · outbound

This paper cites Malle, Extensions of unipotent characters and the inductive McKay condition, J.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Malle, Extensions of unipotent characters and the inductive McKay condition, J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.917340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 41f0f973-9daf-4b64-a38e-25b1d7452fe1 · outbound

This paper cites Malle and G.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Malle and G

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:41:09.808177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2c6517ed-7797-41f3-8bdb-c9e5ed1ade26 · outbound

This paper cites Malle and G.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Malle and G

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.896990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 86f2d1da-e961-4b56-a205-10b80be92044 · outbound

This paper cites Manz and T.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Manz and T

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.913674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ae6f08b7-8fc8-4a5a-8f08-18fb62856da4 · outbound

This paper cites Marinelli and Pham Huu Tiep, Zeros of real irreducible characters of finite groups, Algebra Number Theory 7 (2013), 567--593.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Marinelli and Pham Huu Tiep, Zeros of real irreducible characters of finite groups, Algebra Number Theory 7 (2013), 567--593

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.947787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2bc9234a-c8aa-46c6-a849-259c730fadf6 · outbound

This paper cites Moret\'o and Pham Huu Tiep, Prime divisors of character degrees, J.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Moret\'o and Pham Huu Tiep, Prime divisors of character degrees, J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:41:09.817499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4a6d344e-bf92-45f3-8bb5-ff4fae6f226a · outbound

This paper cites Navarro, Character Theory and the McKay Conjecture , Cambridge University Press, Cambridge, 2018.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Navarro, Character Theory and the McKay Conjecture , Cambridge University Press, Cambridge, 2018

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.959044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation aedfb333-a7f9-4bde-a68a-cfe8f0c1e744 · outbound

This paper cites Navarro, Galois action and characters of finite groups, preprint.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Navarro, Galois action and characters of finite groups, preprint

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.962205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 05268a9e-81b0-4c24-83b7-3733d8dfcba8 · outbound

This paper cites Navarro and Pham Huu Tiep, Degrees of rational characters of finite groups, Adv.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Navarro and Pham Huu Tiep, Degrees of rational characters of finite groups, Adv

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:41:09.821490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 790c901e-57c3-4ab3-98fd-e5956b63e29f · outbound

This paper cites Navarro and Pham Huu Tiep, Degrees and p -rational characters, Bull.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Navarro and Pham Huu Tiep, Degrees and p -rational characters, Bull

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:41:09.814000Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 205cb789-1fba-4a35-be19-c942e4786931 · outbound

This paper cites an unresolved cited work.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-07-05T14:41:09.812037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d8df5f57-7e4d-4901-91e9-4066c3f6d37d · outbound

This paper cites Sin and Pham Huu Tiep, Rank 3 permutation modules of finite classical groups, J.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Sin and Pham Huu Tiep, Rank 3 permutation modules of finite classical groups, J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.956718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 95903cec-95d6-466c-9cf1-50ffaf98b94d · outbound

This paper cites an unresolved cited work.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-07-05T14:31:10.876895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c0c67ac3-5ca4-4b1a-856a-e6d3cd8b60d7 · outbound

This paper cites an unresolved cited work.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-07-05T14:31:10.898956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dca8aa1f-125f-4d8c-8111-5f3673c3f184 · outbound

This paper cites Willems, Blocks of defect zero in finite simple groups of Lie type, J.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Willems, Blocks of defect zero in finite simple groups of Lie type, J

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.895238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0bdf5613-c813-41e4-a558-f17f0bc610ee · outbound

This paper cites Zsigmondy, Zur Theorie der Potenzreste, Monatsh.

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups Zsigmondy, Zur Theorie der Potenzreste, Monatsh

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T14:31:10.925656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

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