The group GL(6,ℤ) is (2, 3)-generated

DOI10.1515/JGT.2007.033zbMath1125.20027MaRDI QIDQ5755366

Maxim Vsemirnov

Publication date: 13 August 2007

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

general linear groups2-generator 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 (8)

AUTOMORPHISM GROUPS OF FREE GROUPS ⋮ On the \((2,3)\)-generation of hyperbolic symplectic groups of large rank. ⋮ The group \(\text{Sp}_{10}(\mathbb Z)\) is \((2,3)\)-generated. ⋮ On the \((2,3)\)-generation of hyperbolic symplectic groups. ⋮ The width of the group \(\mathrm{GL}(6,K)\) with respect to a set of quasiroot elements. ⋮ On (2,3)-generation of matrix groups over the ring of integers, II ⋮ On (2, 3)-Generation of Low-Dimensional Symplectic Groups Over the Integers ⋮ On (2,3)-generation of matrix groups over the ring of integers

Cites Work

• The Magma algebra system. I: The user language
• Constructive (2,3)-generation: A permutational approach

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