双曲酉群的结构II: e -正规子群的分类

R. Preusser
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引用次数: 13

摘要

本文证明了由初等子群$EU_{2n}(R,\Lambda)$归一化的偶维双曲酉群$U_{2n}(R,\Lambda)$的子群的夹心分类猜想,其条件是$R$是一个有对合的拟有限环,即模有限环的直接极限,$n\geq 3$。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Structure of Hyperbolic Unitary Groups II: Classification of E-normal Subgroups
This paper proves the sandwich classification conjecture for subgroups of an even dimensional hyperbolic unitary group $U_{2n}(R,\Lambda)$ which are normalized by the elementary subgroup $EU_{2n}(R,\Lambda)$, under the condition that $R$ is a quasi-finite ring with involution, i.e a direct limit of module finite rings with involution, and $n\geq 3$.
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