Some classes of finite groups and mutually permutable products
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Some classes of finite groups and mutually permutable products

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Some classes of finite groups and mutually permutable products

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dc.contributor.author Asaad, M.
dc.contributor.author Ballester-Bolinches, Adolfo
dc.contributor.author Beidleman, J.C.
dc.contributor.author Esteban Romero, Ramón
dc.date.accessioned 2015-09-18T07:55:36Z
dc.date.available 2015-09-18T07:55:36Z
dc.date.issued 2008
dc.identifier.uri http://hdl.handle.net/10550/47144
dc.description.abstract This paper is devoted to the study of mutually permutable products of finite groups. A factorised group G = AB is said to be a mutually permutable product of its factors A and B when each factor permutes with every subgroup of the other factor. We prove that mutually permutable products of Y-groups (groups satisfying a converse of Lagrange¿s theorem) and SC-groups (groups whose chief factors are simple) are SC-groups, by means of a local version. Next we show that the product of pairwise mutually permutable Y-groups is supersoluble. Finally, we give a local version of the result stating that when a mutually permutable product of two groups is a PST-group (that is, a group in which every subnormal subgroup permutes with all Sylow subgroups), then both factors are PST-groups.
dc.language.iso eng
dc.relation.ispartof Journal of Algebra, 2008, vol. 319, p. 3343-3351
dc.rights.uri info:eu-repo/semantics/openAccess
dc.source Asaad, M. Ballester Bolinches, Adolfo Beidleman, J.C. Esteban Romero, Ramón 2008 Some classes of finite groups and mutually permutable products Journal of Algebra 319 3343 3351
dc.subject Àlgebra
dc.subject Grups, Teoria de
dc.title Some classes of finite groups and mutually permutable products
dc.type info:eu-repo/semantics/article
dc.date.updated 2015-09-18T07:55:37Z
dc.identifier.doi http://dx.doi.org/10.1016/j.jalgebra.2007.12.001
dc.identifier.idgrec 040280

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