Donovan’s conjecture and blocks with abelian defect groups

DOI10.1090/proc/14316zbMath1430.20011arXiv1803.03539OpenAlexW2963955846WikidataQ123248273 ScholiaQ123248273MaRDI QIDQ4644696

Michael Livesey, Charles W. Eaton

Publication date: 8 January 2019

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

Full work available at URL: https://arxiv.org/abs/1803.03539

zbMATH Keywords

quasisimple groupsabelian \(p\)-groupsDonovan's conjecture

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Modular representations and characters (20C20)

Related Items (8)

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 ⋮ 2-blocks whose defect group is homocyclic and whose inertial quotient contains a Singer cycle ⋮ Domination of blocks, fusion systems and hyperfocal subgroups ⋮ The strong Frobenius numbers for cyclic defect blocks are equal to one ⋮ BLOCKS WITH SMALL-DIMENSIONAL BASIC ALGEBRA ⋮ Rationality of blocks of quasi-simple finite groups

Cites Work

• Nilpotent extensions of blocks.
• The source algebras of blocks with a Klein four defect group
• On Donovan's conjecture.
• Towards Donovan's conjecture for abelian defect groups
• Extensions of nilpotent blocks
• A remark on Donovan's conjecture.
• Donovan's conjecture, crossed products and algebraic group actions
• 2-blocks with abelian defect groups.
• A splitting theorem for blocks
• Conjectures of Alperin and Broué for 2-blocks with elementary abelian defect groups of order 8
• Rationality of blocks of quasi-simple finite groups
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