The loewy structure of the projective modules of the mathieu groupMl2and its automorphism group in characteristic 3

DOI10.1080/00927879908826419zbMath0924.20001OpenAlexW1964810678MaRDI QIDQ4238599

Katsushi Waki, Shigeo Koshitani

Publication date: 9 November 1999

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

Full work available at URL: https://doi.org/10.1080/00927879908826419

zbMATH Keywords

group algebrasautomorphism groupsprincipal blocksindecomposable projective modulesLoewy seriesMathieu group \(M_{12}\)

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of sporadic groups (20C34)

Related Items (3)

The green correspondents of the mathieu groupM₁₂in characteristic 3 ⋮ Endotrivial modules for the sporadic simple groups and their covers. ⋮ The Lie algebra structure of the degree one Hochschild cohomology of the blocks of the sporadic Mathieu groups

Uses Software

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Cites Work

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• The modular characters of the Mathieu groups
• On projective summands of induced modules
• On the loewy series of the group algebra of a finite p-solvable group with p-length>1^∗
• The green correspondents of the mathieu groupM₁₂in characteristic 3
• The loewy structure of the projective indecomposable modules for the mathieu groups in characteristic 3

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