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A note on character degrees of solvable groups

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Publication:581538
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DOI10.1007/BF01196351zbMath0627.20009MaRDI QIDQ581538

Olaf Manz, Udo Leisering

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

irreducible charactersbounds on character degreescharacter degrees of solvable groupscommutator seriesnilpotent length


Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60)


Related Items (2)

On the length of the conjugacy classes of finite groups ⋮ Ordinary and p-modular character degrees of solvable groups



Cites Work

  • Unnamed Item
  • Lineare auflösbare Gruppen
  • Degree-problems. I: Squarefree character degrees
  • Solvable groups character degrees and sets of primes
  • Some applications of a fundamental theorem by Gluck and Wolf in the character theory of finite groups
  • Inequalities for character degrees of solvable groups
  • The solvable length of a solvable linear group
  • Primes Dividing Character Degrees and Character Orbit Sizes
  • Degree Problems: the p -Rank in p -Solvable Groups




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