The Borevich theorem for the hyperbolic unitary group over a skew field

2006 ◽  
Vol 136 (3) ◽  
pp. 3908-3925 ◽  
Author(s):  
E. V. Dybkova
Keyword(s):  
Unitary Group ◽  
Skew Field ◽  
Hyperbolic Unitary Group

scholarly journals Structure of Hyperbolic Unitary Groups II: Classification of E-Normal Subgroups

2017 ◽  
Vol 24 (02) ◽  
pp. 195-232 ◽  
Author(s):  
Raimund Preusser
Keyword(s):  
Unitary Group ◽  
Direct Limit ◽  
Finite Ring ◽  
Unitary Groups ◽  
Normal Subgroups ◽  
Finite Rings ◽  
Elementary Subgroup ◽  
Rings With Involution ◽  
Hyperbolic Unitary Group

This paper proves the sandwich classification conjecture for subgroups of an even dimensional hyperbolic unitary group [Formula: see text] which are normalized by the elementary subgroup [Formula: see text], under the condition that R is a quasi-finite ring with involution, i.e., a direct limit of module finite rings with involution, and [Formula: see text].

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