Character Levels and Character Bounds. II

2019/04/17 by Guralnick, Robert M., Larsen, Michael, Tiep, Pham Huu
#20C15 #20C33 #20G40 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1904.08070

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| in a logarithmic sense. We strengthen the results of [GLT] and extend them to all groups of classical type.

Related

• Lower Bounds for Representation Growth
• Finite groups with few character values
• Character estimates for finite classical groups and the asymptotic Thompson Conjecture
• Character bounds for finite groups of Lie type
• Uniform Character Bounds for Finite Classical Groups