On the kernels of representations of finite groups II

DOI10.1017/S0017089500009423zbMath0722.20004OpenAlexW4254366774MaRDI QIDQ3209306

Shigeo Koshitani

Publication date: 1990

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500009423

zbMATH Keywords

group algebraJacobson radicalfinite groupBrauer correspondencemodular representationsvertexdefect groupprimitive idempotentirreducible ordinary charactersp-blockinduced FG-moduleprojective indecomposable FG-module

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (2)

The results of X. Chen and J. Zeng on linear p-Brauer characters ⋮ Broué's Abelian defect group conjecture for the Held group and the sporadic Suzuki group.

Cites Work

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• A Frobenius theorem for blocks
• On the projectives of a group algebra
• Blocks, vertices and normal subgroups
• A note on groups of p-length 1
• Normal p-complements and irreducible characters
• Some applications of the theory of blocks of characters of finite groups. IV
• Groups with Faithful Blocks
• The Kernel of a Block of a Group Algebra

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