Alemany Martínez, E.; Beltran, A.; Felipe Román, MJ. (2011). Nilpotency of normal subgroups having two G-class sizes. Proceedings of the American Mathematical Society. 139(8):2663-2669. https://doi.org/10.1090/S0002-9939-2010-10702-5
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/28780
Title: | Nilpotency of normal subgroups having two G-class sizes | |
Author: | Beltran, Antonio Felipe Román, María José | |
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[EN] Let G be a finite group. If N is a normal subgroup which has exactly two G-conjugacy class sizes, then N is nilpotent. In particular, we show that N is abelian or is the product of a p-group P by a central subgroup ...[+]
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Copyrigths: | Cerrado | |
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Publisher version: | http://doi.org/10.1090/S0002-9939-2010-10702-5 | |
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This work is part of the first author's Ph.D. thesis and is partially supported by Proyecto MTM2007-68010-C03-03 and by Proyecto GV-2009-021.
The second author is also supported by grant Fundacio Caixa-Castello P11B2008-09.[+]
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