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Parabolic subgroups of Vershik-Kerov's group
Author:
Waldemar Holubowski
Journal:
Proc. Amer. Math. Soc. 130 (2002), 2579-2582
MSC (2000):
Primary 20H25, 20E15
Published electronically:
March 15, 2002
MathSciNet review:
1900864
Full-text PDF Free Access
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Abstract: In this note we show that all parabolic subgroups of Vershik-Kerov's group  (i.e. subgroups containing  --the group of infinite dimensional upper triangular matrices) are net subgroups for a wide class of semilocal rings  .
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Additional Information
Waldemar Holubowski
Affiliation:
Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland
Email:
wholub@polsl.gliwice.pl
DOI:
http://dx.doi.org/10.1090/S0002-9939-02-06397-9
PII:
S 0002-9939(02)06397-9
Keywords:
Parabolic subgroup,
net subgroup
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
Article copyright:
© Copyright 2002 American Mathematical Society
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