International Journal of Statistics and Applied Mathematics
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International Journal of Statistics and Applied Mathematics

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: 663 | Downloads: 24

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How to cite this article:
Ping Kang. An extension of a theorem of Ito on conjugacy class sizes. International Journal of Statistics and Applied Mathematics. 2017; 2(1): 06-07.
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