A new solvability criterion for finite groups

DOI10.1112/jlms/jdr041zbMath1246.20015arXiv1105.0475OpenAlexW3101008032WikidataQ56987534 ScholiaQ56987534MaRDI QIDQ2880388

Cheryl E. Praeger, Marcel Herzog, Silvio Dolfi, Robert M. Guralnick

Publication date: 13 April 2012

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.0475

zbMATH Keywords

finite groupssolvabilitysimple groupslinear groups\(2\)-generator subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Generators, relations, and presentations of groups (20F05)

Related Items (12)

Commuting graph of \(A \)-orbits ⋮ Order complexes of coset posets of finite groups are not contractible. ⋮ Groups with a solvable subgroup of prime-power index ⋮ Thompson-like characterization of solubility for products of finite groups ⋮ Divisibility of binomial coefficients and generation of alternating groups ⋮ Solvable conjugacy class graph of groups ⋮ Criteria for solvable radical membership via \(p\)-elements. ⋮ Criteria for solubility and nilpotency of finite groups with automorphisms ⋮ Solvable graphs of finite groups ⋮ CHARACTERIZATION OF SOLVABLE GROUPS AND SOLVABLE RADICAL ⋮ On Certain Weak Engel-Type Conditions in Groups ⋮ On invariable generation of alternating groups by elements of prime and prime power order

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