pi-blocks of pi-separable groups. II

DOI10.1016/0021-8693(89)90162-2zbMath0684.20008OpenAlexW4213201328MaRDI QIDQ1825270

Michael C. Slattery

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90162-2

zbMATH Keywords

defect groupsblock induction\(\pi \) -blocks\(\pi \) -separable groups3 main theorems on blocks

Mathematics Subject Classification ID

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

Related Items

On normal subgroups and height zero Brauer characters in a \(p\)-solvable group., The extension of the first main theorem for \(\pi\)-blocks., Alperin-McKay natural correspondences in solvable and symmetric groups for the prime \(p=2\), On \(\pi\)-subpairs of \(\pi\)-blocks., Height-zero characters and normal subgroups in \(p\)-solvable groups., On the Harris-Knörr correspondence in \(p\)-solvable groups., On height zero characters of \(p\)-solvable groups, \(\pi\)-forms of Brauer's \(k(B)\)-conjecture and Olsson's conjecture., Irreducible characters and normal subgroups in groups of odd order., LIFTS OF PARTIAL CHARACTERS WITH CYCLIC DEFECT GROUPS, \(\pi\)-blocks of characters in a finite group, On the number of \(B_{\pi'}\)-characters in a nilpotent \(\pi\)-block., Relative \(\pi\)-blocks of \(\pi\)-separable groups. II, Solution of Brauer's \(k(B)\)-conjecture for \(\pi\)-blocks of \(\pi\)-separable groups, Brauer characters and the Harris-Knörr correspondence in \(p\)-solvable groups., Variations on McKay's character degree conjecture, Relative \(\pi\)-blocks of \(\pi\)-separable groups, On \(\pi\)-subpairs and the third main theorem for \(\pi\)-blocks, On \(\pi\)-block induction in a \(\pi\)-separable group, Irreducible induced characters of solvable groups, Vertices of simple modules and normal subgroups of \(p\)-solvable groups

Cites Work

• Unnamed Item
• Characters of \(\pi\)-separable groups
• pi-blocks of pi-separable groups. I
• Some applications of a fundamental theorem by Gluck and Wolf in the character theory of finite groups
• A characteristic class of characters of finite \(\pi\)-separable groups
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• On The Characters of p-Solvable Groups
• On π-blocks of finite groups
• On Blocks and Sections in Finite Groups. I
• Character correspondences in solvable groups