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Zap. Nauchn. Sem. POMI, 2014 Volume 423, Pages 5–32 (Mi znsl5995)

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.

UDC: 512.5

Received: 13.02.2014


 English version:
Journal of Mathematical Sciences (New York), 2015, 209:4, 481–499

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