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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1985 Volume 127(169), Number 1(5), Pages 72–91 (Mi sm1958)

This article is cited in 5 papers

Classification of the maximal arithmetic subgroups of indefinite orthogonal groups of type $(B_l)$

A. A. Bondarenko


Abstract: An explicit classification is obtained for the maximal arithmetic subgroups of indefinite orthogonal $K$-groups of type $(B_l)$, where $K$ is a global field $(\operatorname{char}K\ne2)$. As a preliminary, a local analogue of the maximality problem is considered, and conditions are determined under which, for groups of the type indicated, local maximality implies global.
Bibliography: 14 titles.

UDC: 512.743

MSC: Primary 20G30; Secondary 11E57

Received: 20.12.1982 and 18.09.1984


 English version:
Mathematics of the USSR-Sbornik, 1986, 55:1, 71–89

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© Steklov Math. Inst. of RAS, 2024