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Normal subgroups and class sizes of elements of prime power order

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Normal subgroups and class sizes of elements of prime power order

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

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Title: Normal subgroups and class sizes of elements of prime power order
Author:
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[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.
Copyrigths: Reserva de todos los derechos
Source:
Proceedings of the American Mathematical Society. (issn: 0002-9939 ) (eissn: 1088-6826 )
DOI: 10.1090/S0002-9939-2012-11276-6
Publisher:
American Mathematical Society
Publisher version: https://doi.org/10.1090/S0002-9939-2012-11276-6
Thanks:
We would like to thank the referee for some simplifications in the original proofs. This research was supported by the Spanish Government, Proyecto MTM2010-19938-C03-02, and by the Valencian Government, Proyecto PROMETEO/2011/30. ...[+]
Type: Artículo

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