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Character ratios for exceptional groups of Lie type
Title: | Character ratios for exceptional groups of Lie type |
Authors: | Liebeck, M Tiep, PH |
Item Type: | Journal Article |
Abstract: | We prove character ratio bounds for finite exceptional groups G(q) of Lie type. These take the form |χ(g)|χ(1)≤cqk for all nontrivial irreducible characters χ and nonidentity elements g, where c is an absolute constant, and k is a positive integer. Applications are given to bounding mixing times for random walks on these groups and also diameters of their McKay graphs. |
Issue Date: | 16-Aug-2021 |
Date of Acceptance: | 17-Jul-2019 |
URI: | http://hdl.handle.net/10044/1/72205 |
DOI: | 10.1093/imrn/rnz206 |
ISSN: | 1073-7928 |
Publisher: | Oxford University Press (OUP) |
Start Page: | 12054 |
End Page: | 12076 |
Journal / Book Title: | International Mathematics Research Notices |
Volume: | 2021 |
Issue: | 16 |
Keywords: | General Mathematics 0101 Pure Mathematics |
Publication Status: | Published |
Online Publication Date: | 2019-10-15 |
Appears in Collections: | Pure Mathematics Faculty of Natural Sciences Mathematics |