On Alperin's weight conjecture for \(p\)-blocks of \(p\)-solvable groups.

DOI10.2969/jmsj/06541037zbMath1290.20009OpenAlexW2063475794WikidataQ123245226 ScholiaQ123245226MaRDI QIDQ392575

Masafumi Murai

Publication date: 14 January 2014

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06541037

zbMATH Keywords

blocksverticesnumbers of simple modulesGreen correspondenceAlperin weight conjecture\(p\)-solvable finite groups

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Cites Work

• Local methods in block theory
• On normal subgroups and simple modules with a given vertex in a \(p\)-solvable group.
• A strengthened theory of vertices and sources
• Endo-permutation modules over p-groups. I
• Normal subgroups and multiplicities of indecomposable modules
• Normal subgroups and heights of characters
• Weights and vertices for characters of \(\pi\)-separable groups
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