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Periodic groups with permutable subgroup products

  • Patrizia Longobardi (a1), Mercede Maj (a1) and Akbar Rhemtulla (a2)
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.

Copyright
COPYRIGHT: © Cambridge Philosophical Society 1989
References
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[2]Blyth, R. D.. Rewriting products of group elements. II. J. Algebra 118 (1988), 246–259.
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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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