The structure of finite groups with three class sizes

dc.contributor.author	Beltrán, Antonio
dc.contributor.author	Felipe, Maria José
dc.date.accessioned	2011-07-12T07:38:40Z
dc.date.available	2011-07-12T07:38:40Z
dc.date.issued	2009
dc.identifier.issn	1433-5883
dc.identifier.uri	http://hdl.handle.net/10234/25664
dc.description.abstract	Let G be a finite group and suppose that the set of conjugacy class sizes of G is f1; m; mng, where m; n > 1 are coprime. We prove that m 1⁄4 p for some prime p dividing n 􏰁 1. We also show that G has an abelian normal p-complement and that if P is a Sylow p-subgroup of G, then jP0j 1⁄4 p and jP=ZðGÞpj 1⁄4 p2. We obtain other properties and deter- mine completely the structure of G.
dc.format.extent	14 p.
dc.language.iso	eng
dc.publisher	Walter de Gruyter
dc.relation.isPartOf	Journal of Group Theory, vol. 12 (2009), p. 539–553
dc.rights	© Walter de Gruyter
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/	*
dc.subject	Finite groups
dc.subject.other	Grups finits
dc.title	The structure of finite groups with three class sizes
dc.type	info:eu-repo/semantics/article
dc.identifier.doi	http://dx.doi.org/10.1515/JGT.2008.095
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.relation.publisherVersion	https://www.degruyter.com/document/doi/10.1515/JGT.2008.095/html
dc.type.version	info:eu-repo/semantics/publishedVersion