English

Character Levels and Character Bounds. II

Representation Theory 2019-04-23 v2 Group Theory

Abstract

This paper is a continuation of [GLT], which develops a level theory and establishes strong character bounds for finite simple groups of linear and unitary type in the case that the centralizer of the element has small order compared to G|G| in a logarithmic sense. We strengthen the results of [GLT] and extend them to all groups of classical type.

Keywords

Cite

@article{arxiv.1904.08070,
  title  = {Character Levels and Character Bounds. II},
  author = {Robert M. Guralnick and Michael Larsen and Pham Huu Tiep},
  journal= {arXiv preprint arXiv:1904.08070},
  year   = {2019}
}
R2 v1 2026-06-23T08:42:15.920Z