The conjugacy class number k(G) - a different perspective

2014/04/18 by Gumber, Deepak, Kalra, Hemant
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1404.4835

Abstract

Let G be a finite group. Let k(G) denote the number of conjugacy classes of G and let m(G) denote the least positive integer n such that the union of any n distinct non-trivial conjugacy classes of G together with the identity of G is a subgroup of G. We prove that m(G)=k(G)-1 for all m(G)≥ 2.

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