Relative completions and the cohomology of linear groups over local rings

Details Relative completions and the cohomology of linear groups over local rings Relative completions and the cohomology of linear groups over local rings

2001-04-02

arxiv.org/abs/math/0104023v1

Mathematics

K-Theory and Homology

24 pages

Scientific paper

We study the completion of a group relative to a Zariski dense representation
in a reductive algebraic group over a field $k$. The characteristic zero case
was worked out previously by R. Hain; we extend his results to arbitrary
characteristic. The primary application is to the study of the cohomology of
groups such as $SL_n(k[[T]])$.

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