Uniform \((2,k)\)-generation of the 4-dimensional classical groups.

DOI10.1016/j.jalgebra.2012.06.027zbMath1272.20055arXiv1101.2358OpenAlexW2022502338MaRDI QIDQ1946110

M. C. Tamburini Bellani, Marco Antonio Pellegrini, Maxim Vsemirnov

Publication date: 17 April 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2358

zbMATH Keywords

finite classical groupsgenerating pairs\((2,k)\)-generations

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05)

Related Items (8)

Hurwitz Generation of PS_p6(q) ⋮ Finite simple groups of low rank: Hurwitz generation and (2,3)-generation ⋮ On the \((2,3)\)-generation of the finite symplectic groups ⋮ The simple classical groups of dimension less than 6 which are (2,3)-generated ⋮ THE -GENERATION OF THE SPECIAL LINEAR GROUPS OVER FINITE FIELDS ⋮ 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 ⋮ The (2,3)-generation of the finite unitary groups

Cites Work

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