A note on Quadratic and Hermitian Groups

Details A note on Quadratic and Hermitian Groups A note on Quadratic and Hermitian Groups

2009-11-27

arxiv.org/abs/0911.5237v1

Mathematics

K-Theory and Homology

Scientific paper

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..

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