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Periodic groups with permutable subgroup products

Published online by Cambridge University Press:  24 October 2008

Patrizia Longobardi ,
Mercede Maj  and
Akbar Rhemtulla
Patrizia Longobardi
Affiliation:
Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli, Via Mezzocannone 8, 80134 Naples, Italy
Mercede Maj
Affiliation:
Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli, Via Mezzocannone 8, 80134 Naples, Italy
Akbar Rhemtulla
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, CanadaT6G 2G1
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Abstract

Let G be a group. If there exists an integer n > 1 such that for each n-tuple (H1, …, Hn) of subgroups of G there is a non-identity permutation σ of Σn such that the complexes H1,…Hn and Hσ(1)…Hσ(n) are equal, then G is said to have the property of permutable subgroup products, or to be a PSP group. We show that periodic groups with this property are locally finite and investigate the structure of such groups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 106 , Issue 3 , November 1989 , pp. 431 - 437
Copyright
Copyright © Cambridge Philosophical Society 1989

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References

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