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Matematicheskie Zametki, 2006, Volume 80, Issue 5, Pages 770–772
DOI: https://doi.org/10.4213/mzm3086
(Mi mzm3086)
 

On special congruence subgroups of symplectic groups

S. Tazhetdinov

Kara-Kalpak State University
References:
Abstract: In this paper, it is proved that every special congruence subgroup $SSp(V,I)$ of the symplectic group $Sp(V(R))$, where $R$ is a ring of stable rank $1$ with invertible element $2$ and $\dim V(R)\ge 4$, is generated by the symplectic transvections belonging to this subgroup. This result is used to obtain the complete description of the normal subgroups of $Sp(V(R))$.
Received: 02.10.2000
English version:
Mathematical Notes, 2006, Volume 80, Issue 5, Pages 726–728
DOI: https://doi.org/10.1007/s11006-006-0193-5
Bibliographic databases:
UDC: 514.154+519.45
Language: Russian
Citation: S. Tazhetdinov, “On special congruence subgroups of symplectic groups”, Mat. Zametki, 80:5 (2006), 770–772; Math. Notes, 80:5 (2006), 726–728
Citation in format AMSBIB
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