\((2,3)\)-generation of \(PSp(4,q)\), \(q=p^ n\), \(p\neq 2,3\)

DOI10.1007/BF03322298zbMath0783.20027MaRDI QIDQ686705

M. Cazzola, Lino Di Martino

Publication date: 11 October 1993

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

involutionfinite simple groupelement of order 3

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 (5)

(2,3)-Generation of SL(n,q).I. cases n=5,6,7 ⋮ Frankl's conjecture for subgroup lattices ⋮ On the \((2,3)\)-generation of the finite symplectic groups ⋮ Uniform \((2,k)\)-generation of the 4-dimensional classical groups. ⋮ Constructive (2,3)-generation: A permutational approach

Cites Work

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• On the maximal subgroups of the finite classical groups
• On Hurwitz generation and genus actions of sporadic groups
• Über eine Klasse von arithmetisch definierbaren Normalteilern der Modulgruppe
• Generation of classical groups
• Hurwitz Groups and G₂(q)
• Exceptional groups of Lie type as Galois groups.
• On non-Hurwitz groups and non-congruence subgroups of the modular group
• (2,3)-Generation of SL(n,q).I. cases n=5,6,7
• (2,3)-Generation of sl(n,q). II. cases n ≥ 8

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