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9 - Character bounds for finite simple groups and applications

Published online by Cambridge University Press:  21 November 2024

By
Pham Huu Tiep
Edited by
C. M. Campbell ,
M. R. Quick ,
E. F. Robertson ,
C. M. Roney-Dougal  and
D. I. Stewart
C. M. Campbell
Affiliation:
University of St Andrews, Scotland
M. R. Quick
Affiliation:
University of St Andrews, Scotland
E. F. Robertson
Affiliation:
University of St Andrews, Scotland
C. M. Roney-Dougal
Affiliation:
University of St Andrews, Scotland
D. I. Stewart
Affiliation:
University of Manchester
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Summary

Given the current knowledge of complex representations of finite quasi-simple groups, obtaining good upper bounds for their characters values still remains a difficult problem, a satisfactory solution of which would have significant implications in a number of applications. We will report on recent results that produce such character bounds, and discuss some such applications, in and outside of group theory.

Keywords

quasisimple groupsimple groupcharacter theory
Type
Chapter
Information
Groups St Andrews 2022 in Newcastle , pp. 360 - 406
Publisher: Cambridge University Press
Print publication year: 2024

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