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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