Local-global principle for General Quadratic and General Hermitian groups and the nilpotence of KH₁

2014/12/11 by Rabeya Basu, Basu, Rabeya · 1 citation
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #K-Theory and Homology (math.KT) #math.GR #math.KT

paper · pdf · doi:10.48550/arxiv.1412.3631

22 pages. arXiv admin note: substantial text overlap with arXiv:0911.5237

arxiv created 2014/12/11 · arxiv updated 2014/12/12

Abstract

In this article we establish an analog of the Quillen---Suslin's local-global principle for the elementary subgroup of the general quadratic group and the general Hermitian group. We show that unstable \k-groups of general Hermitian groups over module finite rings are nilpotent-by-abelian. This generalizes earlier results of A. Bak, R. Hazrat, and N. Vavilov.

Citations

• A note on Quadratic and Hermitian Groups

Cited by

• A note on general quadratic groups

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