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The solutions to two problems on permutational products

Part of: Structure and classification of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

R. B. J. T. Allenby
R. B. J. T. Allenby
Affiliation:
Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, England
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Abstract

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The two problem, both raised in the literature, are: (I) Is there, amongst all the permutational products (p.p.s.) on the amalgam = (A, B; H) at least one which is a minimal generalized regular product? (II) If one of the p.p.s. on is isomorphic to the generalized free product (g.f.p.) F on U are they all? We answer both of them negatively.

Keywords

generalized free productgeneralized regular productfree nilpotent grouppermutational productfree group

MSC classification

Secondary: 20E22: Extensions, wreath products, and other compositions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 31 , Issue 4 , December 1981 , pp. 390 - 394
Copyright
Copyright © Australian Mathematical Society 1981

References

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