On Donovan's conjecture.

DOI10.1016/S0021-8693(03)00525-8zbMath1051.20005WikidataQ123302615 ScholiaQ123302615MaRDI QIDQ1425086

Olaf Düvel

Publication date: 15 March 2004

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

zbMATH Keywords

Morita equivalencesCartan matricesdefect groupsprincipal blocks\(p\)-blockssimple groupsquasisimple groups

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Modular representations and characters (20C20) Quasi-Frobenius rings (16L60)

Related Items (12)

Towards Donovan's conjecture for abelian defect groups ⋮ Relating the Frobenius and Morita-Frobenius numbers of blocks of finite groups ⋮ Morita equivalence classes of blocks with elementary abelian defect groups of order 32 ⋮ Sectional rank and cohomology ⋮ Donovan's conjecture, blocks with abelian defect groups and discrete valuation rings ⋮ Loewy lengths of blocks with abelian defect groups ⋮ SIMPLE MODULES IN THE AUSLANDER–REITEN QUIVER OF PRINCIPAL BLOCKS WITH ABELIAN DEFECT GROUPS ⋮ 2-blocks with abelian defect groups. ⋮ 2-blocks with minimal nonabelian defect groups. ⋮ Donovan’s conjecture and blocks with abelian defect groups ⋮ Scopes reduction and Morita equivalence classes of blocks in finite classical groups. II. ⋮ Donovan's conjecture and extensions by the centralizer of a defect group

Cites Work

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• On perfect isometries and isotypies in finite groups
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• Blocks and source algebras for the double covers of the symmetric and alternating groups
• Relative local control and the block source algebras
• Extensions of nilpotent blocks
• Donovan's conjecture, crossed products and algebraic group actions
• A splitting theorem for blocks
• DONOVAN CONJECTURE AND LOEWY LENGTH FOR PRINCIPAL 3-BLOCKS OF FINITE GROUPS WITH ELEMENTARY ABELIAN SYLOW 3-SUBGROUP OF ORDER 9
• Decomposition numbers of finite classical groups for linear primes.
• On p-blocks of p-solvable groups
• On finite groups and their characters

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