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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 non-residually solvable hyperlinear one-relator group
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by Jon P. Bannon PDF
Proc. Amer. Math. Soc. 139 (2011), 1409-1410 Request permission

Abstract:

In this short paper, we prove that the group $\langle a,b|a=[a,a^{b}]\rangle$ is hyperlinear. Unlike the nonresidually finite Baumslag-Solitar groups, this group is not residually solvable.
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Additional Information
  • Jon P. Bannon
  • Affiliation: Department of Mathematics, Siena College, Loudonville, New York 12211
  • Email: jbannon@siena.edu
  • Received by editor(s): February 17, 2010
  • Received by editor(s) in revised form: April 26, 2010
  • Published electronically: August 30, 2010
  • Communicated by: Marius Junge
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 139 (2011), 1409-1410
  • MSC (2010): Primary 46L10; Secondary 20F65
  • DOI: https://doi.org/10.1090/S0002-9939-2010-10668-8
  • MathSciNet review: 2748433