Direct products of groups and regular orbits

DOI10.1016/j.jalgebra.2017.10.011zbMath1380.20011OpenAlexW2767156422MaRDI QIDQ1680279

Alexandre Turull, Thomas Michael Keller, Thomas R. Wolf

Publication date: 15 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.10.011

zbMATH Keywords

representationfinite groupregular orbit\(p\)-solvability

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) Modular representations and characters (20C20) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Cites Work

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• The minimal base size for a 𝑝-solvable linear group
• Fixed point free action with regular orbits.
• INTERSECTIONS OF ODD ORDER HALL SUBGROUPS
• The Minimal Base Size of Primitive Solvable Permutation Groups
• Large orbits in coprime actions of solvable groups
• Solvable Primitive Permutation Groups of Low Rank

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