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On Normal Subgroups of Products of Nilpotent Groups

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

Bernhard Amberg ,
Silvana Franciosi  and
Francesco De Giovanni
Bernhard Amberg
Affiliation:
Fachbereich Mathematik Universität MainzSaarstrasse 21 D-6500 Mainz West, Germany
Silvana Franciosi
Affiliation:
Fachbereich Mathematik Universität MainzSaarstrasse 21 D-6500 Mainz West, Germany
Francesco De Giovanni
Affiliation:
Dipartimento di Matematica Università di Napoli Via Mezzocannone8 1-80134 Napoli, Italy
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Abstract

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Let G be a group factorized by finitely many pairwise permutable nilpotent subgroups. The aim of this paper is to find conditions under which at least one of the factors is contained in a proper normal subgroup of G.

MSC classification

Secondary: 20F16: Solvable groups, supersolvable groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 44 , Issue 2 , April 1988 , pp. 275 - 286
Copyright
Copyright © Australian Mathematical Society 1988

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