Generation of finite simple groups by an involution and an element of prime order

DOI10.1016/j.jalgebra.2016.12.031zbMath1376.20018arXiv1603.04717OpenAlexW2963316299MaRDI QIDQ515593

Carlisle S. H. King

Publication date: 16 March 2017

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

Full work available at URL: https://arxiv.org/abs/1603.04717

zbMATH Keywords

classical groupssimple groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (16)

Independent sets of generators of prime power order ⋮ Imprimitive permutations in primitive groups ⋮ FINITE GROUPS WITH ENGEL SINKS OF BOUNDED RANK ⋮ Nilpotent residual of fixed points ⋮ Oriented regular representations of out-valency two for finite simple groups ⋮ Frankl's conjecture for subgroup lattices ⋮ THE -GENERATION OF THE SPECIAL LINEAR GROUPS OVER FINITE FIELDS ⋮ Skew-morphisms of nonabelian characteristically simple groups ⋮ On cubic graphical regular representations of finite simple groups ⋮ Four-valent oriented graphs of biquasiprimitive type ⋮ The (p, q, r)-generations of the alternating group A₁₀ ⋮ Unnamed Item ⋮ Finite groups with the pp-embedding property ⋮ Strong map-symmetry of SL(3,K) and PSL(3,K) for every finite field K ⋮ Cubic graphical regular representations of some classical simple groups ⋮ On invariable generation of alternating groups by elements of prime and prime power order

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