More classical groups which are not \((2,3)\)-generated.

DOI10.1007/s00013-010-0217-yzbMath1220.20025OpenAlexW1991515599MaRDI QIDQ633173

Maxim Vsemirnov

Publication date: 31 March 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-010-0217-y

zbMATH Keywords

finite matrix groups\((2,3)\)-generationScott formula

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 (8)

Hurwitz Generation of PS_p6(q) ⋮ Finite simple groups of low rank: Hurwitz generation and (2,3)-generation ⋮ Frankl's conjecture for subgroup lattices ⋮ On the \((2,3)\)-generation of the finite symplectic groups ⋮ The simple classical groups of dimension less than 6 which are (2,3)-generated ⋮ Uniform \((2,k)\)-generation of the 4-dimensional classical groups. ⋮ Generation of finite simple groups by an involution and an element of prime order ⋮ THE (2,3)-GENERATION OF THE CLASSICAL SIMPLE GROUPS OF DIMENSIONS 6 AND 7

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Hurwitz generation and genus actions of sporadic groups
• Matrices and cohomology
• Classical groups, probabilistic methods, and the \((2,3)\)-generation problem
• Irreducible \((2,3,7)\)-subgroups of \(\text{PGL}_n(\mathbb{F})\), \(n\leqslant 7\).
• On (2, 3)-Generation of Low-Dimensional Symplectic Groups Over the Integers
• Hurwitz Groups and G₂(q)
• (2,3)-Generation of Exceptional Groups
• On hurwitz groups of low rank

This page was built for publication: More classical groups which are not \((2,3)\)-generated.