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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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Parabolic subgroups of Vershik-Kerov’s group
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by Waldemar Hołubowski PDF
Proc. Amer. Math. Soc. 130 (2002), 2579-2582 Request permission

Abstract:

In this note we show that all parabolic subgroups of Vershik-Kerov’s group $GLB(R)$ (i.e. subgroups containing $T(\infty ,R)$—the group of infinite dimensional upper triangular matrices) are net subgroups for a wide class of semilocal rings $R$.
References
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Additional Information
  • Waldemar Hołubowski
  • Affiliation: Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland
  • Email: wholub@polsl.gliwice.pl
  • Received by editor(s): March 22, 2001
  • Received by editor(s) in revised form: May 10, 2001
  • Published electronically: March 15, 2002

    • Dedicated: Dedicated to Z. I. Borevich (1922-1995)
  • Communicated by: Stephen D. Smith
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 2579-2582
  • MSC (2000): Primary 20H25, 20E15
  • DOI: https://doi.org/10.1090/S0002-9939-02-06397-9
  • MathSciNet review: 1900864