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

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The paper is a continuation the previous paper, where the lattice of overgroups of the diagonal subgroup in the hyperbolic unitary group for an infinite or sufficiently large simple Artin ring is described. Here the same problem is considered for the hyperbolic unitary group of the second degree over a finite simple Artin ring with a small center. Conditions under which the above lattice admits the standard description are stated. Bibliography: 11 titles.

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Authors and Affiliations

  1. St.Petersburg State University, St.Petersburg, Russia

    E. V. Dybkova

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  1. E. V. Dybkova
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Correspondence to E. V. Dybkova.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 356, 2008, pp. 85–117.

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Dybkova, E.V. Overgroups of the diagonal group in the hyperbolic unitary group over a simple Artin ring. II. J Math Sci 156, 901–917 (2009). https://doi.org/10.1007/s10958-009-9297-2

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  • DOI: https://doi.org/10.1007/s10958-009-9297-2

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