Solvability of finite groups with four conjugacy class sizes of certain elements

Authors

  • Q. Jiang University of Jinan
  • C. Shao University of Jinan

Keywords:

Conjugacy class sizes, primary and biprimary elements, finite groups.

Abstract

Assume that m and n are two positive integers which do not divide each other. If the set of conjugacy class sizes of primary and biprimary elements of a group G is 1,m,n,mn, we show that up to central factors G is a p,q-group for two distinct primes p and q. DOI: 10.1017/S0004972714000495

Author Biography

C. Shao, University of Jinan

Department of Mathemtical Sciences

Published

2014-08-03

Issue

Vol. 90 No. 2 (2014)

Section

Articles
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