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arXiv:1909.03254 [math.GR]AbstractReferencesReviewsResources

Stability for odd unitary $K_1$

Egor Voronetsky

Published 2019-09-07Version 1

We give a new purely algebraic approach to odd unitary groups using odd form rings. Using these objects, we prove the stability theorems for odd unitary $K_1$-functor without using the corresponding result from linear $K$-theory. Moreover, we prove a natural stabilization result for projective unitary groups and various general unitary groups.

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