On the \((2,3)\)-generation of hyperbolic symplectic groups of large rank.

DOI10.1016/j.jpaa.2013.01.002zbMath1290.20025OpenAlexW2094563238MaRDI QIDQ392156

V. L. Vasilyev, Maxim Vsemirnov

Publication date: 13 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2013.01.002

zbMATH Keywords

\((2,3)\)-generationshyperbolic symplectic groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (2)

On the \((2,3)\)-generation of hyperbolic symplectic groups. ⋮ The (2, 3)-generation of the special unitary groups of dimension 6

Cites Work

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• The group \(\text{Sp}_{10}(\mathbb Z)\) is \((2,3)\)-generated.
• Classical groups of large rank as Hurwitz groups.
• On the \((2,3)\)-generation of some classical groups. I
• Classical groups, probabilistic methods, and the \((2,3)\)-generation problem
• On (2, 3)-Generation of Low-Dimensional Symplectic Groups Over the Integers
• On (2,3)-generation of matrix groups over the ring of integers
• (2,3)-Generation of SL(n,q).I. cases n=5,6,7
• (2,3)-Generation of sl(n,q). II. cases n ≥ 8
• Constructive (2,3)-generation: A permutational approach
• The group GL(6,ℤ) is (2, 3)-generated

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