The green correspondents of the mathieu groupM12in characteristic 3

DOI10.1080/00927879908826420zbMath0924.20002OpenAlexW1965197932MaRDI QIDQ4238600

Shigeo Koshitani, Katsushi Waki

Publication date: 9 November 1999

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

Full work available at URL: https://doi.org/10.1080/00927879908826420

zbMATH Keywords

group algebrassocle seriesdefect groupssimple modulesSylow subgroupsprincipal blocksverticesmodular representationsGreen correspondentsLoewy 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)

Vertices, sources and Green correspondents of the simple modules for the large Mathieu groups. ⋮ The loewy structure of the projective modules of the mathieu groupM_l2and its automorphism group in characteristic 3 ⋮ Endotrivial modules for the sporadic simple groups and their covers.

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 vertices of irreducible modules
• On the loewy series of the group algebra of a finite p-solvable group with p-length>1^∗
• Blocks and Simple Modules with Cyclic Vertices
• The loewy structure of the projective modules of the mathieu groupM_l2and its automorphism group in characteristic 3
• The loewy structure of the projective indecomposable modules for the mathieu groups in characteristic 3

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