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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 stability property for linear groups
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by Marian F. Anton PDF
Proc. Amer. Math. Soc. 134 (2006), 93-98 Request permission

Abstract:

For suitable rings of integers $R$, we show that the mod $p$ group cohomology for $GL_{n+3p-5}(R)$ comes from $GL_\infty (R)$ when restricted to the diagonal matrices $D_n(R)$ for all ranks $n\ge 2$.
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Additional Information
  • Marian F. Anton
  • Affiliation: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027 – and – I.M.A.R., P.O. Box 1-764, Bucharest, Romania 70700
  • Email: anton@ms.uky.edu
  • Received by editor(s): September 3, 2004
  • Received by editor(s) in revised form: September 15, 2004
  • Published electronically: June 14, 2005
  • Communicated by: Paul Goerss
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 93-98
  • MSC (2000): Primary 19D55, 20G30
  • DOI: https://doi.org/10.1090/S0002-9939-05-07946-3
  • MathSciNet review: 2170547