Normal subgroups and class sizes of elements of prime power order
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https://riunet.upv.es/handle/10251/62985
Cita bibliográfica
Beltrán, A.; Felipe Román, MJ. (2012). Normal subgroups and class sizes of elements of prime power order. Proceedings of the American Mathematical Society. 140(12):4105-4109. https://doi.org/10.1090/S0002-9939-2012-11276-6
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[EN] If G is a finite group and N is a normal subgroup of G with two C-conjugacy class sizes of elements of prime power order, then we show that N is nilpotent.
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Proceedings of the American Mathematical Society issn: 0002-9939