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arxiv: 1506.08885 · v3 · pith:NI7NN5NQnew · submitted 2015-06-29 · 🧮 math.KT · math.GR

Structure of Hyperbolic Unitary Groups II: Classification of E-normal Subgroups

classification 🧮 math.KT math.GR
keywords classificationhyperbolicinvolutionlambdasubgroupsunitaryconditionconjecture
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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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