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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2006 Volume 47, Number 3, Pages 665–669 (Mi smj885)

This article is cited in 2 papers

The structure of subnormal subgroups of symplectic groups over local rings

S. Tazhetdinov

Kara-Kalpak State University

Abstract: We give a description of subnormal subgroups of a symplectic group over a local ring with invertible element 2. We also propose a description of subgroups of this group normalized by special congruence subgroups.

Keywords: subnormal subgroup, congruence subgroup, symplectic group, local ring, symplectic transvection.

UDC: 519.45

Received: 03.11.2004


 English version:
Siberian Mathematical Journal, 2006, 47:3, 551–554

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© Steklov Math. Inst. of RAS, 2024