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
- 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
Dedicated: Dedicated to Z. I. Borevich (1922-1995)