Orbits of the Actions of Odd-Order Solvable Groups

DOI10.1080/00927872.2010.533725zbMath1248.20017OpenAlexW1995721097MaRDI QIDQ2880424

Yong Yang

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.533725

zbMATH Keywords

irreducible modulesregular orbitsrepresentations of solvable groupsquasi-primitive modulesodd-order 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) Modular representations and characters (20C20)

Related Items (2)

Lower bound for the number of conjugacy classes and irreducible characters ⋮ A lower bound for the number of odd-degree representations of a finite group

Uses Software

• GAP

Cites Work

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• Regular orbits on symplectic modules
• Supersolvable automorphism groups of solvable groups.
• Orbit sizes, character degrees and Sylow subgroups.
• Regular orbits of Hall \(\pi\)-subgroups
• INTERSECTIONS OF ODD ORDER HALL SUBGROUPS

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