English

Relative completions and the cohomology of linear groups over local rings

K-Theory and Homology 2016-09-07 v1 Algebraic Topology Group Theory

Abstract

We study the completion of a group relative to a Zariski dense representation in a reductive algebraic group over a field kk. 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 SLn(k[[T]])SL_n(k[[T]]).

Keywords

Cite

@article{arxiv.math/0104023,
  title  = {Relative completions and the cohomology of linear groups over local rings},
  author = {Kevin P. Knudson},
  journal= {arXiv preprint arXiv:math/0104023},
  year   = {2016}
}

Comments

24 pages