The probability of generating a classical group

DOI10.1080/00927879408824912zbMath0820.20022OpenAlexW2030890087MaRDI QIDQ4288275

Jan Saxl, Robert M. Guralnick, William M. Kantor

Publication date: 11 September 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408824912

zbMATH Keywords

symmetric groupsfinite simple groupsalternating groupssimple classical groupsDixon's conjecturegeneration by two random elements

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Asymptotic results on counting functions for algebraic and topological structures (11N45) Simple groups: alternating groups and groups of Lie type (20D06) Subgroups of symmetric groups (20B35) Probabilistic methods in group theory (20P05)

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Cites Work

• Unnamed Item
• On the maximal subgroups of the finite classical groups
• Solvable generation of groups and Sylow subgroups of the lower central series
• On the minimal degrees of projective representations of the finite Chevalley groups
• Generation of classical groups
• The probability of generating a finite classical group
• Minimal Degrees of Primitive Permutation Groups, with an Application to Monodromy Groups of Covers of Riemann Surfaces

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