The (2, 3)-generation of the finite 8-dimensional orthogonal groups

DOI10.1515/jgth-2022-0001OpenAlexW4297200208MaRDI QIDQ2687984

Marco Antonio Pellegrini, M. C. Tamburini Bellani

Publication date: 7 March 2023

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

Full work available at URL: https://arxiv.org/abs/2201.00367

zbMATH Keywords

orthogonal groups(2,3)-generation

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)

Cites Work

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• The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
• Classical groups, probabilistic methods, and the \((2,3)\)-generation problem
• The (2,3)-generation of the finite unitary groups
• On the \((2,3)\)-generation of the finite symplectic groups
• THE (2,3)-GENERATION OF THE CLASSICAL SIMPLE GROUPS OF DIMENSIONS 6 AND 7
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• THE -GENERATION OF THE SPECIAL LINEAR GROUPS OVER FINITE FIELDS
• The Finite Simple Groups
• A Theorem of Dickson on Irreducible Polynomials
• Finite simple groups of low rank: Hurwitz generation and (2,3)-generation

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