Blocks with abelian defect groups of rank 2 and one simple module

2019/09/19 by Hu, Xueqin
#20C20 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1909.08788

Abstract

In this paper, we investigate the block that has an abelian defect group of rank 2 and its Brauer correspondent has only one simple module. We will get an isotypy between the block and its Brauer correspondent. It will generalize the result of Kessar and Linckelmann (\citeKL).

Related

• Blocks with only one irreducible Brauer character orbit
• 2-blocks with abelian defect groups
• Brauer correspondent blocks with one simple module
• Brauer's problem 21 for principal blocks
• Morita equivalence classes of blocks with elementary abelian defect\n groups of order 16