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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2006 Volume 338, Pages 155–172 (Mi znsl170)

This article is cited in 4 papers

Overgroups of the diagonal group in the hyperbolic unitary group over a simple Artin ring

E. V. Dybkova

Saint-Petersburg State University

Abstract: We consider overgroups of the diagonal subgroup in the hyperbolic unitary group over a simple Artin ring. We have proved that in most cases the lattice of the subgroups in question admits the standard description. In particular, this holds for all infinite rings. In our previous papers the similar result was obtained for fields and skew field.

Received: 30.10.2006


 English version:
Journal of Mathematical Sciences (New York), 2007, 145:1, 4781–4789

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