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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2005 Volume 321, Pages 240–250 (Mi znsl417)

This article is cited in 1 paper

Subgroups of the orthogonal groups of even degree over a local field

K. Yu. Lavrov

Saint-Petersburg State University

Abstract: In this paper, we obtain the description of subgroups of orthogonal linear groups $\operatorname{SO}(2l,K)$ and $\operatorname{GO}(2l,K)$ over the field of fractions $K$ of a local principal ideal domain $R$ containing the maximal split tori $T=T(2l,R)$ with entries from $R$. Similar result for overgroups $T$ in case of semilocal ring and field was obtained earlier by N. Vavilov. Result of the present paper generalizes also some known results.

UDC: 512

Received: 28.12.2004


 English version:
Journal of Mathematical Sciences (New York), 2006, 136:3, 3966–3971

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© Steklov Math. Inst. of RAS, 2024