DONOVAN CONJECTURE AND LOEWY LENGTH FOR PRINCIPAL 3-BLOCKS OF FINITE GROUPS WITH ELEMENTARY ABELIAN SYLOW 3-SUBGROUP OF ORDER 9

DOI10.1081/AGB-100106771zbMath0993.20008OpenAlexW2080220567MaRDI QIDQ2758257

Hyohe Miyachi, Shigeo Koshitani

Publication date: 4 June 2002

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

Full work available at URL: https://doi.org/10.1081/agb-100106771

zbMATH Keywords

Morita equivalencesdefect groupsfinite simple groupsLoewy lengthsprincipal blocksBrauer correspondenceBroué's conjectureAbelian defect group conjectureDonovan's conjectureblocks of finite group algebras

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of finite groups of Lie type (20C33)

Related Items (13)

Shintani descent and perfect isometries for blocks of finite general linear groups. ⋮ Conjectures of Donovan and Puig for Principal 3-Blocks with Abelian Defect Groups ⋮ The Alperin-McKay Conjecture for metacyclic, minimal non-abelian defect groups ⋮ Eigenvalues of Cartan matrices of principal 3-blocks of finite groups with Abelian Sylow 3-subgroups. ⋮ Groups with 2-generated Sylow subgroups and their character tables ⋮ Loewy lengths of blocks with abelian defect groups ⋮ Central ideals and Jacobson radicals of blocks of group algebras ⋮ Perverse equivalences and Broué's conjecture. ⋮ On Donovan's conjecture. ⋮ On Loewy lengths of blocks ⋮ Edge-primitive tetravalent graphs ⋮ Broué's conjecture holds for principal 3-blocks with elementary Abelian defect group of order 9 ⋮ The Projective Cover of the Trivial Module Over a Group Algebra of a Finite Group

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