Regular orbits of finite primitive solvable groups. II.

DOI10.1016/j.jalgebra.2011.03.031zbMath1247.20021OpenAlexW4213044664MaRDI QIDQ661852

Yong Yang

Publication date: 11 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.03.031

zbMATH Keywords

solvable linear groupsregular orbitsrepresentations of solvable groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Modular representations and characters (20C20)

Related Items (18)

The 3-closure of a solvable permutation group is solvable ⋮ Direct products of groups and regular orbits ⋮ \(p\)-parts of character degrees and the index of the Fitting subgroup. ⋮ Large orbit sizes in finite group actions ⋮ Large orbits of odd-order subgroups of solvable linear groups. ⋮ On Gluck's conjecture ⋮ Group actions and non-vanishing elements in solvable groups ⋮ NONVANISHING ELEMENTS FOR BRAUER CHARACTERS ⋮ Regular orbits of finite primitive solvable groups. III ⋮ Large orbits of subgroups of solvable linear groups. ⋮ Primitive characters of odd order groups ⋮ Orbit sizes and odd order composition factors of finite linear groups ⋮ On Huppert's rho-sigma conjecture ⋮ Large character degrees of solvable 3’-groups ⋮ A bound on the diameter of the Brauer graph of a block of a solvable group ⋮ Blocks of small defect. ⋮ Regular orbits of finite primitive solvable groups, the final classification ⋮ On Huppert's \(\rho\)-\(\sigma\) conjecture

Uses Software

• GAP

Cites Work

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• Regular orbits of finite primitive solvable groups
• Orbits of the actions of finite solvable groups.
• Supersolvable automorphism groups of solvable groups.
• Characters of Solvable and Symplectic Groups
• Solvable Primitive Permutation Groups of Low Rank

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