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

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Abstract For an odd quadratic space of Witt index over a commutative ring with pseudoinvolution, we classify the subgroups of the odd unitary group that are normalized by the elementary… Click to show full abstract

Abstract For an odd quadratic space of Witt index over a commutative ring with pseudoinvolution, we classify the subgroups of the odd unitary group that are normalized by the elementary subgroup defined by a hyperbolic pair in Further we correct some minor mistakes that exist in the literature on odd unitary groups.

Keywords: normal structure; unitary groups; petrov odd; odd unitary; structure petrov; groups commutative

Journal Title: Communications in Algebra
Year Published: 2019

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