Regular orbits of solvable linear \(p'\)-groups.

zbMath1134.20058MaRDI QIDQ2481188

Evgeny P. Vdovin

Publication date: 14 April 2008

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53948

zbMATH Keywords

Sylow subgroupscomplete reducibility\(p\)-solvable finite linear groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05)

Related Items (13)

Intersections of three nilpotent subgroups in a finite group ⋮ Large \(p'\)-orbits for \(p\)-nilpotent linear groups ⋮ On intersections of \(\pi \)-Hall subgroups in finite \(D_{\pi} \)-groups ⋮ Blocks of small defect in alternating groups and squares of Brauer character degrees ⋮ On intersections of solvable Hall subgroups in finite simple exceptional groups of Lie type. ⋮ Base sizes for primitive groups with soluble stabilisers ⋮ On the characterization of the core of a \(\pi\)-prefrattini subgroup of a finite soluble group ⋮ Intersections of three nilpotent subgroups of finite groups ⋮ Intersections of prefrattini subgroups in finite soluble groups ⋮ Every coprime linear group admits a base of size two ⋮ A characterization of the Gaschütz subgroup of a finite soluble group ⋮ The minimal base size for a 𝑝-solvable linear group ⋮ Orbit sizes and odd order composition factors of finite linear groups

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