Loewy lengths of blocks with abelian defect groups

DOI10.1090/bproc/28zbMath1479.20011arXiv1607.08795OpenAlexW2962851948MaRDI QIDQ4596733

Charles W. Eaton, Michael Livesey

Publication date: 8 December 2017

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08795

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items (3)

Towards Donovan's conjecture for abelian defect groups ⋮ Donovan's conjecture, blocks with abelian defect groups and discrete valuation rings ⋮ Classifying blocks with abelian defect groups of rank 3 for the prime 2

Cites Work

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• Broué's Abelian defect group conjecture holds for the sporadic simple Conway group \(Co_3\).
• Note on a p-block of a finite group with Abelian defect group
• Block structure of the smallest Janko group
• Projective modules for \(SL(2,2^n)\)
• On Donovan's conjecture.
• Extensions of nilpotent blocks
• On the Jacobson radical of a block ideal in a finite p-solvable group for \(p\geq 5\)
• Dade's conjecture for symmetric groups
• 2-blocks with abelian defect groups.
• 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
• On lower bounds for the radical of a block ideal in a finite p-solvable group
• Principal 2-Blocks of the Simple Groups of Ree Type
• The Projective Indecomposable Modules of SL(2, p ⁿ )
• Principal blocks of groups with dihedral sylow 2-subgroups
• Conjectures of Donovan and Puig for Principal 3-Blocks with Abelian Defect Groups
• On Loewy lengths of blocks

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