The loewy structure of the projective indecomposable modules for the mathieu groups in characteristic 3

DOI10.1080/00927879308824631zbMath0797.20014OpenAlexW1990267872MaRDI QIDQ4696697

Katsushi Waki

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824631

zbMATH Keywords

principal indecomposable modulesMathieu groupscharacteristic 3Loewy structures

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 (10)

Holonomy groups of Bieberbach groups with finite outer automorphism groups ⋮ Projective modules of finite groups with elementary abelian Sylow 3-subgroups of order 9 in characteristic 3 ⋮ Rouquier blocks in Chevalley groups of type \(E\). ⋮ DONOVAN CONJECTURE AND LOEWY LENGTH FOR PRINCIPAL 3-BLOCKS OF FINITE GROUPS WITH ELEMENTARY ABELIAN SYLOW 3-SUBGROUP OF ORDER 9 ⋮ The projective indecomposable modules for the higman-sims group in characteristic 3 ⋮ The loewy structure of the projective modules of the mathieu groupM_l2and its automorphism group in characteristic 3 ⋮ The green correspondents of the mathieu groupM₁₂in characteristic 3 ⋮ The Lie algebra structure of the degree one Hochschild cohomology of the blocks of the sporadic Mathieu groups ⋮ A generalization of dual symmetry and reciprocity for symmetric algebras ⋮ Broué's conjecture for non-principal 3-blocks of finite groups

Cites Work

• Unnamed Item
• Die Struktur modularer Gruppenringe endlicher Gruppen der p-Länge 1
• The modular characters of the Mathieu groups
• A lower bound for the number of irreducible characters in a block

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