Conjugacy class size conditions which imply solvability

Authors

  • Q. J. Kong Tianjin Polytechnic University
  • Q. F. Liu

Keywords:

conjugacy class sizes, solvable groups, ¯nite groups.

Abstract

Let G be a finite p-solvable group and let G¤ be the set of elements of primary and biprimary orders of G. Suppose that the conjugacy class sizes of G¤ are {1; pa; n; pan}, where p divides the positive integer n and pa does not divide n, then G is up to central factors a {p,q}-group with p and q two distinct primes. In particular, G is solvable. 10.1017/S0004972712000925

Published

2013-08-10

Issue

Vol. 88 No. 2 (2013)

Section

Articles
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