INTERSECTIONS OF ODD ORDER HALL SUBGROUPS

DOI10.1112/S0024609304003807zbMath1078.20018OpenAlexW1993004527MaRDI QIDQ4673180

Silvio Dolfi

Publication date: 29 April 2005

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

Full work available at URL: https://doi.org/10.1112/s0024609304003807

zbMATH Keywords

Hall subgroupsorbitsintersections of Sylow subgroupsfaithful modules\(\pi\)-solvable groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (16)

Orbits of the Actions of Odd-Order Solvable Groups ⋮ Large character degrees of solvable groups with Abelian Sylow 2-subgroups. ⋮ Direct products of groups and regular orbits ⋮ Arithmetical conditions of orbit sizes of linear groups of odd order ⋮ Large orbits of odd-order subgroups of solvable linear groups. ⋮ On the characterization of the core of a \(\pi\)-prefrattini subgroup of a finite soluble group ⋮ Large orbits in coprime actions of solvable groups ⋮ Large orbits of subgroups of solvable linear groups. ⋮ Intersections of prefrattini subgroups in finite soluble groups ⋮ A characterization of the Gaschütz subgroup of a finite soluble group ⋮ A lower bound for the number of odd-degree representations of a finite group ⋮ The minimal base size for a 𝑝-solvable linear group ⋮ On Huppert's rho-sigma conjecture ⋮ Large character degrees of solvable 3’-groups ⋮ On large orbits of subgroups of linear groups ⋮ On the intersections of solvable Hall subgroups in finite groups.

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