Bounds on the largest Kronecker and induced multiplicities of finite groups

TL;DR

This paper provides new bounds and asymptotic estimates for the largest Kronecker and induced multiplicities in finite groups, especially large simple groups of Lie type and groups with few conjugacy classes.

Contribution

It introduces novel bounds and asymptotic estimates for multiplicities in finite groups, extending understanding to large simple groups of Lie type.

Findings

New bounds on Kronecker multiplicities

Asymptotic estimates for induced multiplicities

Applicability to large simple groups of Lie type

Abstract

We give new bounds and asymptotic estimates on the largest Kronecker and induced multiplicities of finite groups. The results apply to large simple groups of Lie type and other groups with few conjugacy classes.