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Primitive subgroups and PST-groups

Repositori DSpace/Manakin

dc.contributor.author	Ballester-Bolinches, Adolfo
dc.contributor.author	Beidleman, J.C.
dc.contributor.author	Esteban Romero, Ramón
dc.date.accessioned	2015-10-07T06:19:44Z
dc.date.available	2015-10-07T06:19:44Z
dc.date.issued	2014
dc.identifier.citation	Ballester Bolinches, Adolfo Beidleman, J.C. Esteban Romero, Ramón 2014 Primitive subgroups and PST-groups Bulletin of the Australian Mathematical Society 89 3 373 378
dc.identifier.uri	http://hdl.handle.net/10550/47671
dc.description.abstract	All groups are finite. A subgroup H of a group G is called a primitive subgroup if it is a proper subgroup in the intersection of all subgroups of G containing H as its proper subgroup. He, Qiao and Wang [7] proved that every primitive subgroup of a group G has index a power of a prime if and only if G/Φ(G) is a solvable PST-group. Let X denote the class of groups G all of whose primitive subgroups have prime power index. It is established here that a group G is a solvable PST-group if and only if every subgroup of G is an X-group.
dc.language.iso	eng
dc.relation.ispartof	Bulletin of the Australian Mathematical Society, 2014, vol. 89, num. 3, p. 373-378
dc.subject	Àlgebra
dc.subject	Grups, Teoria de
dc.title	Primitive subgroups and PST-groups
dc.type	journal article	es_ES
dc.date.updated	2015-10-07T06:19:45Z
dc.identifier.doi	10.1017/S0004972713000592
dc.identifier.idgrec	090324
dc.rights.accessRights	open access	es_ES