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Permutable subnormal subgroups of finite groups

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Permutable subnormal subgroups of finite groups

dc.contributor.author	Ballester-Bolinches, Adolfo
dc.contributor.author	Beidleman, J.C.
dc.contributor.author	Cossey, John
dc.contributor.author	Esteban Romero, Ramón
dc.contributor.author	Ragland, M.F.
dc.contributor.author	Schmidt, Jack
dc.date.accessioned	2015-09-18T08:13:18Z
dc.date.available	2015-09-18T08:13:18Z
dc.date.issued	2009
dc.identifier.citation	Ballester Bolinches, Adolfo Beidleman, J.C. Cossey, John Esteban Romero, Ramón Ragland, M.F. Schmidt, Jack 2009 Permutable subnormal subgroups of finite groups Archiv der Mathematik 92 6 549 557
dc.identifier.uri	http://hdl.handle.net/10550/47146
dc.description.abstract	The aim of this paper is to prove certain characterization theorems for groups in which permutability is a transitive relation, the so called PT -groups. In particular, it is shown that the finite solvable PT -groups, the finite solvable groups in which every subnormal subgroup of defect two is permutable, the finite solvable groups in which every normal subgroup is permutable sensitive, and the finite solvable groups in which conjugate-permutability and permutability coincide are all one and the same class. This follows from our main result which says that the finite modular p-groups, p a prime, are those p-groups in which every subnormal subgroup of defect two is permutable or, equivalently, in which every normal subgroup is permutable sensitive. However, there exist finite insolvable groups which are not PT -groups but all subnormal subgroups of defect two are permutable.
dc.language.iso	eng
dc.relation.ispartof	Archiv der Mathematik, 2009, vol. 92, num. 6, p. 549-557
dc.subject	Àlgebra
dc.subject	Grups, Teoria de
dc.title	Permutable subnormal subgroups of finite groups
dc.type	journal article	es_ES
dc.date.updated	2015-09-18T08:13:18Z
dc.identifier.doi	10.1007/s00013-009-2976-x
dc.identifier.idgrec	047361
dc.rights.accessRights	open access	es_ES