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Permutable subnormal subgroups of finite groups

Ballester-Bolinches, Adolfo; Beidleman, J C; Cossey, Peter (John); Esteban-Romero, R; Ragland, M F; Schmidt, Jack

Description

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...[Show more]

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
URI: http://hdl.handle.net/1885/29954
Source: Archiv der Mathematik
DOI: 10.1007/s00013-009-2976-x

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