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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 423, Pages 5–32
(Mi znsl5995)
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On the $(2,3)$-generation of hyperbolic symplectic groups
V. L. Vasilyev St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia
Abstract:
For any finitely generated, commutative ring $R$ and any sufficiently large $n$, we prove that the elementary hyperbolic symplectic group $\mathrm{ESp}_{2n}(R)$ can be generated by an involution and an element of order 3.
Key words and phrases:
hyperbolic symplectic groups, $(2,3)$-generation, symplectic transvections.
Received: 13.02.2014
Citation:
V. L. Vasilyev, “On the $(2,3)$-generation of hyperbolic symplectic groups”, Problems in the theory of representations of algebras and groups. Part 26, Zap. Nauchn. Sem. POMI, 423, POMI, St. Petersburg, 2014, 5–32; J. Math. Sci. (N. Y.), 209:4 (2015), 481–499
Linking options:
https://www.mathnet.ru/eng/znsl5995 https://www.mathnet.ru/eng/znsl/v423/p5
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Abstract page: | 123 | Full-text PDF : | 27 | References: | 38 |
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