scientific article; zbMATH DE number 6157714

zbMath1271.20012MaRDI QIDQ4918554

Timothy C. Burness, Simon D. Guest

Publication date: 25 April 2013

Full work available at URL: https://projecteuclid.org/euclid.nmj/1361976372

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zbMATH Keywords

conjugacy classesmaximal subgroupsfinite simple groupssoclesfinite almost simple groupsexact spreads\(3/2\)-generationsalmost simple linear groupsuniform spreads

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Maximal subgroups (20E28) Generators, relations, and presentations of groups (20F05) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06) Probabilistic methods in group theory (20P05)

Related Items (15)

Independent sets of generators of prime power order ⋮ On the spread of infinite groups ⋮ On the uniform spread of almost simple symplectic and orthogonal groups ⋮ Genus, thickness and crossing number of graphs encoding the generating properties of finite groups ⋮ The spread of a finite group ⋮ Shintani descent, simple groups and spread ⋮ ON THE GENERATING GRAPH OF A SIMPLE GROUP ⋮ Finite groups, 2-generation and the uniform domination number ⋮ Generation and random generation: from simple groups to maximal subgroups. ⋮ On the finite simple images of free products of finite groups ⋮ Infinite 32‐generated groups ⋮ Connectivity of generating graphs of nilpotent groups ⋮ Upper bounds on the uniform spreads of the sporadic simple groups ⋮ On the uniform domination number of a finite simple group ⋮ Finite primitive groups and regular orbits of group elements

Uses Software

• Magma

Cites Work

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