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Low dimensional homology of linear groups over Hensel local rings

Kevin P. Knudson
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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.

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Kevin P. Knudson. 1998-01-21. Low dimensional homology of linear groups over Hensel local rings. https://arxiv.org/abs/math/9801098

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