Character levels and character bounds for finite classical groups-Reference-Cited by-同舟云学术

Character levels and character bounds for finite classical groups

Published:2023-09-29 Issue:1 Volume:235 Page:151-210
ISSN:0020-9910
Container-title:Inventiones mathematicae
language:en
Short-container-title:Invent. math.

Author:

Guralnick Robert M.,Larsen Michael,Tiep Pham Huu

Abstract

AbstractThe main results of the paper develop a level theory and establish strong character bounds for finite classical groups, in the case that the centralizer of the element has small order compared to

$|G|$

| G | in a logarithmic sense.

Funder

University of Southern California

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00222-023-01221-5.pdf

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4. Bezrukavnikov, R., Liebeck, M.W., Shalev, A., Tiep, P.H.: Character bounds for finite groups of Lie type. Acta Math. 221, 1–57 (2018)

5. Carter, R.: Finite Groups of Lie Type: Conjugacy Classes and Complex Characters. Wiley, Chichester (1985)

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