Low dimensional homology of linear groups over Hensel local rings
K-Theory and Homology
2007-05-23 v1 Group Theory
Abstract
We prove that if R is a Hensel local ring with infinite residue field k, the natural map H_i(GL(n,R),Z/p) ---> H_i(GL(n,k),Z/p) is an isomorphism for i <=3, p distinct from char(k). This implies rigidity for H_i(GL_n), i <=3, which in turn implies the Friedlander-Milnor conjecture in positive characteristic in degrees <=3.
Keywords
Cite
@article{arxiv.math/9801098,
title = {Low dimensional homology of linear groups over Hensel local rings},
author = {Kevin P. Knudson},
journal= {arXiv preprint arXiv:math/9801098},
year = {2007}
}
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15 pages