English

A note on Quadratic and Hermitian Groups

K-Theory and Homology 2009-11-30 v1 Commutative Algebra

Abstract

In this article we deduce an analogue of Quillen's Local-Global Principle for the elementary subgroup of the general quadratic group and the hermitian group. We show that the unstable K_1-groups of the hermitian groups are nilpotent by abelian. This generalizes earlier results of A. Bak, R. Hazrat, N. Vavilov and etal..

Keywords

Cite

@article{arxiv.0911.5237,
  title  = {A note on Quadratic and Hermitian Groups},
  author = {Rabeya Basu},
  journal= {arXiv preprint arXiv:0911.5237},
  year   = {2009}
}
R2 v1 2026-06-21T14:16:49.927Z