On the generation of finite simple groups by pairs of subgroups

DOI10.1016/0021-8693(88)90220-7zbMath0648.20025OpenAlexW2159524776MaRDI QIDQ1105030

John S. Wilson, Maria Chiara Tamburini

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90220-7

zbMATH Keywords

involutionfinite simple groupgeneration of \(PSL_ n(q)\) and \(A_ n\) by pairs of elements

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Finite simple groups and their classification (20D05)

Related Items (6)

Structure of the orthogonal group \(O_{n}(V)\) over \(L\)-rings ⋮ Length problems for automorphisms of modules over local rings. ⋮ (2,3)-Generation of SL(n,q).I. cases n=5,6,7 ⋮ (2,3)-Generation of sl(n,q). II. cases n ≥ 8 ⋮ On the finite simple images of free products of finite groups ⋮ Hurwitz Groups and Hurwitz Generation

Cites Work

• Unnamed Item
• Two-element generation of the projective unimodular group
• A residual property of certain free products
• Endliche Gruppen I

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