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Nilpotent-by-Noetherian Factorized Groups

Published online by Cambridge University Press:  20 November 2018

Bernhard Amberg ,
Silvana Franciosi  and
Francesco de Giovanni
Bernhard Amberg
Affiliation:
Fachbereich Mathematik Universitât Mainz Saarstraβe 21 D - 6500 Mainz West Germany,
Silvana Franciosi
Affiliation:
Fachbereich Mathematik Universitât Mainz Saarstraβe 21 D - 6500 Mainz West Germany,
Francesco de Giovanni
Affiliation:
Dipartimento di Matematica Université di Napoli Via Mezzocannone 8 I - 80134 Napoli Italy
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Abstract

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It is shown that a soluble-by-finite product G = AB of a nilpotent-by-noetherian group A and a noetherian group B is nilpotentby- noetherian. Moreover, a bound for the torsion-free rank of the Fitting factor group of G is given, in terms of the torsion-free rank of the Fitting factor group of A and the torsion-free rank of B.

Keywords

20F1920D40

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 4 , 01 December 1989 , pp. 391 - 403
Copyright
Copyright © Canadian Mathematical Society 1989

References

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