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On finite J-groups

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

A. Ballester-Bolinches  and
R. Esteban-Romero
A. Ballester-Bolinches
Affiliation:
Department d'Àlgebra Universitat de ValènciaDr. Moliner, 50 E-46100 Burjassot (València)Spain e-mail: adolfo.ballester@uv.es
R. Esteban-Romero
Affiliation:
Department de Matemàtica Aplicada Universitat Politècnica de ValènciaCamí de Vera, s/n E-46022 ValènciaSpain e-mail: resteban@mat.upv.es
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Abstract

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Characterisations of finite groups in which normality is a transitive relation are presented in the paper. We also characterise the finite groups in which every subgroup is either permutable or coincides with its permutiser as the groups in which every subgroup is permutable.

MSC classification

Secondary: 20D10: Solvable groups, theory of formations, Schunck classes, Fitting classes, $pi$-length, ranks 20D20: Sylow subgroups, Sylow properties, $pi$-groups, $pi$-structure 20D35: Subnormal subgroups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 75 , Issue 2 , October 2003 , pp. 181 - 192
Copyright
Copyright © Australian Mathematical Society 2003

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