Endliche auflösbare Gruppen, deren sämtliche Charaktergrade Primzahlpotenzen sind. (Finite solvable groups all whose character degrees are prime powers)
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Publication:1078316
DOI10.1016/0021-8693(85)90210-8zbMath0596.20007OpenAlexW1971963142MaRDI QIDQ1078316
Publication date: 1985
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(85)90210-8
Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10)
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Finite groups with small conjugacy classes ⋮ Nonsolvable groups with no prime dividing four character degrees ⋮ Solvable groups character degrees and sets of primes ⋮ Finite groups whose irreducible characters of principal blocks have prime power degrees. ⋮ Conjugacy class lengths of metanilpotent groups ⋮ Finite non-solvable groups whose real degrees are prime-powers ⋮ Prime divisors of irreducible character degrees and of conjugacy class sizes in finite groups ⋮ The prime-power hypothesis and solvable groups ⋮ Characters of prime power degree in principal blocks ⋮ Prime divisors of irreducible character degrees. ⋮ On the length of the conjugacy classes of finite groups ⋮ Finite groups whose irreducible Brauer characters have prime power degrees. ⋮ Solvable groups with \(p\)-modular character degrees of prime power ⋮ A solvability criterion for finite groups related to character degrees ⋮ A conjecture about character degrees of solvable groups ⋮ Connections between prime divisors of conjugacy classes and prime divisors of \(| G| \) ⋮ On groups whose irreducible character degrees of all proper subgroups are all prime powers ⋮ Lengths of conjugacy classes of finite solvable groups ⋮ Prime Factors of Conjugacy Classes of Finite Solvable Groups ⋮ PROJECTIVE CHARACTERS WITH PRIME POWER DEGREES ⋮ On zeros of characters of finite groups ⋮ Finite groups with exactly one composite character degree ⋮ Non-solvable groups each of whose character degrees has at most two prime divisors ⋮ Finite groups whose real-valued irreducible characters have prime power degrees ⋮ Almost simple groups with no product of two primes dividing three character degrees ⋮ Non-solvable groups each of whose vanishing class sizes has at most two prime divisors
Cites Work
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- Characters and derived length in groups of odd order
- A characterization of groups in terms of the degrees of their characters
- Groups whose irreducible representations have degrees dividing \(p^ 2\)
- A characterization of groups in terms of the degrees of their characters. II
- Finite groups with small character degrees and large prime divisors
- Finite groups with small character degrees and large prime divisors. II
- Groups whose irreducible representations have degrees dividing \(p_ e\)
- M-groups and the supersolvable residual
- On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
- Character Degrees and Derived Length of a Solvable Group
- Characters of Solvable and Symplectic Groups
- Groups Having at Most Three Irreducible Character Degrees
