Dade's projective conjecture for \(p\)-solvable groups

DOI10.1006/jabr.2000.8307zbMath0955.20006OpenAlexW1997311462WikidataQ123224052 ScholiaQ123224052MaRDI QIDQ1577628

Geoffrey R. Robinson

Publication date: 27 February 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8307

zbMATH Keywords

defect groupsnumbers of irreducible characters\(p\)-solvable groupssubpairs\(p\)-blocksBrauer correspondence\(p\)-local subgroupsDade conjectureFong correspondence

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

Cancellation theorems related to conjectures of Alperin and Dade, Weight conjectures for ordinary characters., Alperin weight conjecture and related developments, 2-blocks with minimal nonabelian defect groups., A reduction theorem for the McKay conjecture., Refinements of Dade's projective conjecture for \(p\)-solvable groups, Some refinements of Dade's projective conjecture., On finite groups of \(p\)-local rank one and conjectures of Dade and Robinson, Modular representation theory of blocks with trivial intersection defect groups., Vertices for characters of $p$-solvable groups, Basic local representation theory, Character triple conjecture for \(p\)-solvable groups, On a minimal counterexample to the Alperin-McKay conjecture., Alternating sums over \(\pi\)-subgroups, On a minimal counterexample to Dade's projective conjecture, More cancellation theorems for conjectures of Alperin and Dade, Parameterization of Irreducible Characters for p-Solvable Groups

Cites Work

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• Counting characters in blocks. I
• Defects of irreducible characters of \(p\)-soluble groups
• Extensions of nilpotent blocks
• Some Remarks on a Conjecture of Alperin
• Counting characters in blocks, II.
• Local Structure, Vertices and Alperin's Conjecture
• Brauer correspondence for covering blocks of finite groups