On a theorem of Barker-Puig that refines Alperin's weight conjecture for blocks in \(p\)-solvable finite groups via Clifford theory.

DOI10.1007/S00025-010-0054-0zbMath1219.20009OpenAlexW2158356943WikidataQ122872264 ScholiaQ122872264MaRDI QIDQ606390

Morton E. Harris

Publication date: 17 November 2010

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-010-0054-0

zbMATH Keywords

block idempotentsirreducible modulesGreen correspondenceAlperin weight conjecturevertex pairs

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Cites Work

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• Vertices, blocks, and virtual characters
• A note on the Green invariants in finite group modular representative theory.
• Ordinary induction from a subgroup and finite group block theory.
• The Green correspondence and ordinary induction of blocks in finite group modular representation theory.
• Splendid Derived Equivalences for Blocks of Finite p -Solvable Groups
• On the Glauberman and Watanabe correspondences for blocks of finite $p$-solvable groups

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