Large orbits of \(p\)-groups on characters and applications to character degrees.
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Publication:1781940
DOI10.1007/BF02773535zbMath1096.20012OpenAlexW2040720547MaRDI QIDQ1781940
Publication date: 9 June 2005
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02773535
Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)
Related Items (7)
Abelian quotients and orbit sizes of solvable linear groups ⋮ Fitting height and character degree graphs. ⋮ ON LARGE ORBITS OF FINITE SOLVABLE GROUPS ON CHARACTERS ⋮ On \(p\)-parts of Brauer character degrees and \(p\)-regular conjugacy class sizes of finite groups ⋮ On group actions of p‐groups on p′$p^{\prime }$‐groups ⋮ Orbits of finite solvable groups on characters. ⋮ On nilpotent group actions on the characters of solvable groups
Cites Work
- Ordinary and p-modular character degrees of solvable groups
- Connection between the 2-length and the derived length of a Sylow 2-subgroup of a finite solvable group
- The q-parts of degrees of Brauer characters of solvable groups
- Orbit sizes, character degrees and Sylow subgroups.
- On the number of zeros in the columns of the character table of a group.
- On the number of conjugacy classes of zeros of characters.
- On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
- A Note on Brauer Character Degrees of Solvable Groups
- Large orbits in actions of nilpotent groups
- Small Groups of Automorphisms
- Derived length and character degrees of solvable groups
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