Nilpotency of normal subgroups having two G-class sizes

dc.contributor.author	Alemany, Elena
dc.contributor.author	Beltrán, Antonio
dc.contributor.author	Felipe, Maria José
dc.date.accessioned	2012-02-27T12:55:07Z
dc.date.available	2012-02-27T12:55:07Z
dc.date.issued	2010-12-22
dc.identifier.citation	Proceedings of the American Mathematical Society (2011), vol. 139, no. 8, p. 2663–2669
dc.identifier.issn	0002-9939
dc.identifier.issn	1088-6826
dc.identifier.uri	http://hdl.handle.net/10234/32576
dc.description.abstract	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 of G. Furthermore, when P is not abelian, P /(Z(G) ∩ P ) has exponent p.
dc.format.extent	7 p.
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	American Mathematical Society
dc.rights.uri	http://rightsstatements.org/vocab/CNE/1.0/	*
dc.subject	G-class
dc.subject	Nilpotency
dc.subject.lcsh	Finite groups
dc.subject.other	Grups finits
dc.title	Nilpotency of normal subgroups having two G-class sizes
dc.type	info:eu-repo/semantics/article
dc.rights.holder	© American Mathematical Society
dc.identifier.doi	http://dx.doi.org/10.1090/S0002-9939-2010-10702-5
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.relation.publisherVersion	http://www.ams.org/journals/proc/2011-139-08/S0002-9939-2010-10702-5/S0002-9939-2010-10702-5.pdf
dc.type.version	info:eu-repo/semantics/publishedVersion