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A stability property for linear groups

Author(s): Marian F. Anton
Journal: Proc. Amer. Math. Soc. 134 (2006), 93-98.
MSC (2000): Primary 19D55, 20G30
Posted: June 14, 2005
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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

DOI: 10.1090/S0002-9939-05-07946-3
PII: S 0002-9939(05)07946-3
Received by editor(s): September 3, 2004
Received by editor(s) in revised form: September 15, 2004
Posted: June 14, 2005
Communicated by: Paul Goerss
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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