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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A free product of finitely generated nilpotent groups amalgamating a cycle that is not subgroup separable
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by R. B. J. T. Allenby and David Doniz PDF
Proc. Amer. Math. Soc. 124 (1996), 1003-1005 Request permission

Abstract:

We exhibit a counterexample to a recent assertion concerning the subgroup separability of groups in the title. The example also serves as a simplification of work of Gitik and Rips.
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Additional Information
  • R. B. J. T. Allenby
  • Affiliation: School of Mathematics, University of Leeds, Leeds LS2 9JT, England
  • Email: pmt6ra@leeds.ac.uk
  • David Doniz
  • Affiliation: School of Mathematics, University of Leeds, Leeds LS2 9JT, England
  • Received by editor(s): May 25, 1994
  • Communicated by: Ronald M. Solomon
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 1003-1005
  • MSC (1991): Primary 20E06, 20E26, 20F18; Secondary 20F10
  • DOI: https://doi.org/10.1090/S0002-9939-96-03567-8
  • MathSciNet review: 1350930