Unitary groups and ramified extensions

2016/11/02 by Cruickshank, J., Szechtman, F.
#11E39 #11E57 #15A21 #15A63 #20G25 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1611.00824

Abstract

We classify all non-degenerate skew-hermitian forms defined over certain local rings, not necessarily commutative, and study some of the fundamental properties of the associated unitary groups, including their orders when the ring in question is finite.

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