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Maximal subgroups and PST-groups

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Maximal subgroups and PST-groups

dc.contributor.author	Ballester-Bolinches, Adolfo
dc.contributor.author	Beidleman, J.C.
dc.contributor.author	Esteban Romero, Ramón
dc.contributor.author	Pérez Calabuig, Vicent
dc.date.accessioned	2015-09-28T07:59:55Z
dc.date.available	2015-09-28T07:59:55Z
dc.date.issued	2013
dc.identifier.citation	Ballester Bolinches, Adolfo; Beidleman, J. C.; Esteban Romero, Ramón; Pérez Calabuig, Vicent (2013) Maximal subgroups and PST-groups Central European Journal Of Mathematics 11 6 1078 1082
dc.identifier.uri	http://hdl.handle.net/10550/47309
dc.description.abstract	A subgroup H of a group G is said to permute with a subgroup K of G if HK is a subgroup of G. H is said to be permutable (resp. S-permutable) if it permutes with all the subgroups (resp. Sylow subgroups) of G. Finite groups in which permutability (resp. S-permutability) is a transitive relation are called PT-groups (resp. PST-groups). PT-, PST- and T-groups, or groups in which normality is transitive, have been extensively studied and characterised. Kaplan [Kaplan G., On T-groups, supersolvable groups, and maximal subgroups, Arch. Math. (Basel), 2011, 96(1), 19-25] presented some new characterisations of soluble T-groups. The main goal of this paper is to establish PT- and PST-versiosn of Kaplan's results, which enables a better understanding of the relationships between these classes.
dc.language.iso	eng
dc.relation.ispartof	Central European Journal Of Mathematics, 2013, vol. 11, num. 6, p. 1078-1082
dc.subject	Àlgebra
dc.subject	Grups, Teoria de
dc.title	Maximal subgroups and PST-groups
dc.type	journal article	es_ES
dc.date.updated	2015-09-28T07:59:56Z
dc.identifier.doi	10.2478/s11533-013-0222-z
dc.identifier.idgrec	089623
dc.rights.accessRights	open access	es_ES