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arxiv: 1611.00824 · v3 · pith:FPSELNLRnew · submitted 2016-11-02 · 🧮 math.RA

Unitary groups and ramified extensions

classification 🧮 math.RA
keywords groupsunitaryassociatedcertainclassifycommutativedefinedextensions
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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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