The simple classical groups of dimension less than 6 which are (2,3)-generated

DOI10.1142/S0219498815501480zbMath1325.20030arXiv1405.3149OpenAlexW2962679329MaRDI QIDQ2949761

Marco Antonio Pellegrini, M. C. Tamburini Bellani

Publication date: 2 October 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3149

zbMATH Keywords

\((2,3)\)-generated groupsfinite simple groupsclassical groupsprojective special linear groupsprojective special unitary groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (9)

Finite simple groups of low rank: Hurwitz generation and (2,3)-generation ⋮ Cubic graphical regular representations of \(\mathrm{PSU}_3(q)\) ⋮ On the \((2,3)\)-generation of the finite symplectic groups ⋮ THE -GENERATION OF THE SPECIAL LINEAR GROUPS OVER FINITE FIELDS ⋮ Generation of finite simple groups by an involution and an element of prime order ⋮ Cubic graphical regular representations of \(\mathrm{PSL}_3(q)\) ⋮ On presentations for unitary groups ⋮ The (2,3)-generation of the finite unitary groups ⋮ The (2, 3)-generation of the special unitary groups of dimension 6

Cites Work

• Unnamed Item
• More classical groups which are not \((2,3)\)-generated.
• Über eine Klasse von arithmetisch definierbaren Normalteilern der Modulgruppe
• Classical groups, probabilistic methods, and the \((2,3)\)-generation problem
• Uniform \((2,k)\)-generation of the 4-dimensional classical groups.
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• On non-Hurwitz groups and non-congruence subgroups of the modular group
• (2,3)-Generation of SL(n,q).I. cases n=5,6,7

This page was built for publication: The simple classical groups of dimension less than 6 which are (2,3)-generated