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arXiv · 1809.08543

The E-normal structure of Petrov's odd unitary groups over commutative rings

Raimund Preusser
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Abstract

For an odd quadratic space $V$ of Witt index $\geq 3$ over a commutative ring with pseudoinvolution, we classify the subgroups of the odd unitary group $U(V)$ that are normalized by the elementary subgroup $EU_{(e_1,e_{-1})}(V)$ defined by a hyperbolic pair $(e_1,e_{-1})$ in $V$. Further we correct some minor mistakes that exist in the literature on odd unitary groups.

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Raimund Preusser. 2018-09-23. The E-normal structure of Petrov's odd unitary groups over commutative rings. https://arxiv.org/abs/1809.08543

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