Relative completions of linear groups over Z[t] and Z[t,t^{-1}]
Group Theory
2007-05-23 v1 K-Theory and Homology
Abstract
We compute the completion of the groups SL_n(Z[t]) and SL_n(Z[t,t^{-1}]) relative to the obvious homomorphisms to SL_n(Q); this is a generalization of the classical Malcev completion. We also make partial computations of the rational second cohomology of these groups.
Cite
@article{arxiv.math/9801100,
title = {Relative completions of linear groups over Z[t] and Z[t,t^{-1}]},
author = {Kevin P. Knudson},
journal= {arXiv preprint arXiv:math/9801100},
year = {2007}
}
Comments
13 pages