THE -GENERATION OF THE SPECIAL LINEAR GROUPS OVER FINITE FIELDS

DOI10.1017/S0004972716000617zbMath1369.20046arXiv1605.04276OpenAlexW2963588114MaRDI QIDQ2986568

Marco Antonio Pellegrini

Publication date: 16 May 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04276

zbMATH Keywords

generationlinear groups

Mathematics Subject Classification ID

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

Related Items (6)

On the \((2,3)\)-generation of the finite symplectic groups ⋮ The (2, 3)-generation of the finite 8-dimensional orthogonal groups ⋮ On (2,3)-generation of matrix groups over the ring of integers, II ⋮ Generation of finite simple groups by an involution and an element of prime order ⋮ The (2,3)-generation of the finite unitary groups ⋮ Generating sets of involutions of finite simple groups

Cites Work

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• Generation of finite simple groups by an involution and an element of prime order
• Some applications of the first cohomology group
• On Hurwitz generation and genus actions of sporadic groups
• On the \((2,3)\)-generation of some classical groups. I
• Transitive subgroups of primitive permutation groups
• On the \((2,3)\)-generation on some classical groups. II
• Classical groups, probabilistic methods, and the \((2,3)\)-generation problem
• Uniform \((2,k)\)-generation of the 4-dimensional classical groups.
• THE (2,3)-GENERATION OF THE CLASSICAL SIMPLE GROUPS OF DIMENSIONS 6 AND 7
• The (2, 3)-generation of the special unitary groups of dimension 6
• The simple classical groups of dimension less than 6 which are (2,3)-generated
• On (2,3)-generation of matrix groups over the ring of integers
• Generators for Simple Groups
• Hurwitz Generation of PS_p6(q)
• (2,3)-Generation of Exceptional Groups
• (2,3)-Generation of SL(n,q).I. cases n=5,6,7
• (2,3)-Generation of sl(n,q). II. cases n ≥ 8
• Finite simple groups of low rank: Hurwitz generation and (2,3)-generation
• On a class of doubly transitive groups

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