Normal subgroups and class sizes of elements of prime power order

Beltrán, Antonio; Felipe, María

doi:10.1090/S0002-9939-2012-11276-6

Normal subgroups and class sizes of elements of prime power order
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by Antonio Beltrán and María José Felipe PDF

Proc. Amer. Math. Soc. 140 (2012), 4105-4109 Request permission

Abstract:

If $G$ is a finite group and $N$ is a normal subgroup of $G$ with two $G$-conjugacy class sizes of elements of prime power order, then we show that $N$ is nilpotent.

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