2017, Vol. 2, Issue 1, Part A
An extension of a theorem of Ito on conjugacy class sizes
Author(s): Ping Kang
Abstract: Let G be a finite group and let G
* be the set of elements of prime power order of G. In this paper we show that, if no conjugacy class size of G
* is divisible by the product pq, then G is p-nilpotent with abelian Sylow p-subgroup or G is q-nilpotent with abelian Sylow q-subgroup, where p, q are distinct primes.
Pages: 06-07 | Views: 1357 | Downloads: 27Download Full Article: Click HereHow to cite this article:
Ping Kang. An extension of a theorem of Ito on conjugacy class sizes. Int J Stat Appl Math 2017;2(1):06-07.
