The \((2,3)\)-generation of the finite simple odd-dimensional orthogonal groups

DOI10.1017/S1446788724000016MaRDI QIDQ6622308

Marco Antonio Pellegrini, M. C. Tamburini Bellani

Publication date: 22 October 2024

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

zbMATH Keywords

orthogonal groupgenerationsimple group

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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• Generation of finite simple groups by an involution and an element of prime order
• \((2,3)\)-generation of \(PSp(4,q)\), \(q=p^ n\), \(p\neq 2,3\)
• On the \((2,3)\)-generation of some classical groups. I
• Generation of finite almost simple groups by conjugates.
• 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 finite unitary groups
• On the \((2,3)\)-generation of the finite symplectic groups
• The (2, 3)-generation of the finite 8-dimensional orthogonal 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

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