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Primitive subgroups and PST-groups

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Primitive subgroups and PST-groups

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dc.contributor.author Ballester-Bolinches, A. es_ES
dc.contributor.author Beidleman, J.C. es_ES
dc.contributor.author Esteban Romero, Ramón es_ES
dc.date.accessioned 2015-05-20T10:21:42Z
dc.date.available 2015-05-20T10:21:42Z
dc.date.issued 2014-06
dc.identifier.issn 0004-9727
dc.identifier.uri http://hdl.handle.net/10251/50541
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. es_ES
dc.language Inglés es_ES
dc.publisher Cambridge University Press (CUP): STM Journals - No Cambridge Open es_ES
dc.relation.ispartof Bulletin of the Australian Mathematical Society es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Finite groups es_ES
dc.subject Primitive subgroups es_ES
dc.subject Solvable PST-groups es_ES
dc.subject T_0-groups es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Primitive subgroups and PST-groups es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1017/S0004972713000592
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Ballester-Bolinches, A.; Beidleman, J.; Esteban Romero, R. (2014). Primitive subgroups and PST-groups. Bulletin of the Australian Mathematical Society. 89(3):373-378. doi:10.1017/S0004972713000592 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1017/S0004972713000592 es_ES
dc.description.upvformatpinicio 373 es_ES
dc.description.upvformatpfin 378 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 89 es_ES
dc.description.issue 3 es_ES
dc.relation.senia 246552
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dc.description.references Ballester-Bolinches, A., Esteban-Romero, R., & Pedraza-Aguilera, M. C. (2005). On a Class of p-Soluble Groups. Algebra Colloquium, 12(02), 263-267. doi:10.1142/s1005386705000258 es_ES
dc.description.references He, X., Qiao, S., & Wang, Y. (2013). A NOTE ON PRIMITIVE SUBGROUPS OF FINITE SOLVABLE GROUPS. Communications of the Korean Mathematical Society, 28(1), 55-62. doi:10.4134/ckms.2013.28.1.055 es_ES
dc.description.references Johnson, D. L. (1971). A Note on Supersoluble Groups. Canadian Journal of Mathematics, 23(3), 562-564. doi:10.4153/cjm-1971-063-5 es_ES
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