Donovan's conjecture and blocks with abelian defect groups

2018/03/08 by Eaton, Charles, Livesey, Michael
#16D90 #20C20 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1803.03539

Abstract

We give a reduction of Donovan's conjecture for abelian groups to a similar statement for quasisimple groups. Consequently we show that Donovan's conjecture holds for abelian 2-groups.

Related

• Donovan's conjecture, blocks with abelian defect groups and discrete valuation rings
• Towards Donovan's conjecture for abelian defect groups
• Donovan's conjecture and extensions by the centralizer of a defect group
• 2-blocks with abelian defect groups
• Morita equivalence classes of blocks with extraspecial defect groups p₊¹⁺²