Some applications of a fundamental theorem by Gluck and Wolf in the character theory of finite groups

DOI10.1007/BF01164012zbMath0606.20011OpenAlexW2050002507MaRDI QIDQ1084495

Olaf Manz, Reiner Staszewski

Publication date: 1986

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173741

zbMATH Keywords

\(\pi\)-blocks\(\pi\)-separable groupscharacter degrees\(\pi\)-Hall subgroupsGluck-Wolf theoremheight 0-conjecture

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20)

Related Items

Actions and characters in blocks. ⋮ Fitting height and character degree graphs. ⋮ Hall subgroups and fully extendible characters ⋮ Induction and restriction of characters and Hall subgroups. ⋮ \(\pi\)-forms of Brauer's \(k(B)\)-conjecture and Olsson's conjecture. ⋮ A conjecture about character degrees of solvable groups ⋮ A note on character degrees of solvable groups ⋮ Solution of Brauer's \(k(B)\)-conjecture for \(\pi\)-blocks of \(\pi\)-separable groups ⋮ On zeros of characters of finite groups ⋮ On the Number of Components of a Graph Related to Character Degrees ⋮ Relative \(\pi\)-blocks of \(\pi\)-separable groups ⋮ pi-blocks of pi-separable groups. II

Cites Work

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• Defect groups and character heights in blocks of solvable groups
• Brauer's Height Conjecture for p-Solvable Groups
• Degree problems II π - separable character degrees
• On π-blocks of finite groups
• Group Characters and Normal Hall Subgroups