J Austral Math Soc Ser A 44 pp275--286, 1988.

On Normal Subgroups of Products of Nilpotent Groups

Bernhard Amberg, Silvana Franciosi and Francesco de Giovanni

(Received 24 June 1986; revised 30 August 1986)

Abstract

Let G be a group factorized by 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.

1980 AMS Subject Classification: 20F16

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Authors

Bernhard Amberg: Fachbereich Mathematik, Universität Mainz, Saarstrasse 21, D-6500 Mainz, West Germany.
Silvana Franciosi: Diparimento di Matematica, Università di Napoli, Via Mezzocannone 8, I-80134 Napoli, Italy.
Fransesco de Giovanni: Diparimento di Matematica, Università di Napoli, Via Mezzocannone 8, I-80134 Napoli, Italy.

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