Relative completions of linear groups

over and

Author:
Kevin P. Knudson

Journal:
Trans. Amer. Math. Soc. **352** (2000), 2205-2216

MSC (1991):
Primary 55P60, 20G35, 20H05; Secondary 20G10, 20F14

DOI:
https://doi.org/10.1090/S0002-9947-99-02433-2

Published electronically:
July 26, 1999

Correction:
Tran. Amer. Math. Soc. 353 (2001), 3833-3834.

MathSciNet review:
1641103

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Abstract | References | Similar Articles | Additional Information

Abstract: We compute the completion of the groups and

relative to the obvious homomorphisms to ; this is a generalization of the classical Malcev completion. We also make partial computations of the rational second cohomology of these groups.

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Additional Information

**Kevin P. Knudson**

Affiliation:
Department of Mathematics, Northwestern University, Evanston, Illinois 60208

Address at time of publication:
Department of Mathematics, Wayne State University, Detroit, Michigan 48202

DOI:
https://doi.org/10.1090/S0002-9947-99-02433-2

Received by editor(s):
January 20, 1998

Published electronically:
July 26, 1999

Additional Notes:
Supported by an NSF Postdoctoral Fellowship, grant no. DMS-9627503

Article copyright:
© Copyright 2000
American Mathematical Society