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The problem of maximality of arithmetic subgroups in orthogonal groups of the type Bn

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Abstract

We obtain an explicit classification of the maximal arithmetic subgroups of decomposable orthogonal groups of type Bn over the field of rational numbers or the field of rational functions of a single variable with a finite field of constants (of characteristic not equal to 2). In passing, we solve the problem concerning the classification of maximal compact subgroups of decomposable orthogonal groups of type Bn over Q2.

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Authors and Affiliations

  1. Belorussian State University, USSR

    A. A. Bondarenko

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  1. A. A. Bondarenko
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Translated from Matematicheskie Zametki, Vol. 16, No. 1, pp. 151–161, July, 1974.

In conclusion I wish to thank V. P. Platonov for his guidance in the writing of this paper.

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Bondarenko, A.A. The problem of maximality of arithmetic subgroups in orthogonal groups of the type Bn . Mathematical Notes of the Academy of Sciences of the USSR 16, 674–679 (1974). https://doi.org/10.1007/BF01098825

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  • DOI: https://doi.org/10.1007/BF01098825

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