Splendid Morita equivalences for principal blocks with semidihedral defect groups

2020/10/16 by Koshitani, Shigeo, Lassueur, Caroline, Sambale, Benjamin
#16D90 #20C05 #20C15 #20C20 #20C33 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2010.08541

Abstract

We classify principal blocks of finite groups with semidihedral defect groups up to splendid Morita equivalence. This completes the classification of all principal 2-blocks of tame representation type up to splendid Morita equivalence and shows that Puig's Finiteness Conjecture holds for such blocks.

Related

• Principal 2-blocks with wreathed defect groups up to splendid Morita equivalence
• Splendid Morita equivalences for principal 2-blocks with dihedral defect groups
• Splendid Morita equivalences for principal blocks with generalised\n quaternion defect groups
• Morita Equivalence Classes of Tame Blocks of Finite Groups
• Morita equivalence classes of blocks with extraspecial defect groups p₊¹⁺²