Splendid Morita equivalences for principal blocks with semidihedral defect groups
Representation Theory
2020-10-19 v1 Group Theory
Abstract
We classify principal blocks of finite groups with semidihedral defect groups up to splendid Morita equivalence. This completes the classification of all principal -blocks of tame representation type up to splendid Morita equivalence and shows that Puig's Finiteness Conjecture holds for such blocks.
Keywords
Cite
@article{arxiv.2010.08541,
title = {Splendid Morita equivalences for principal blocks with semidihedral defect groups},
author = {Shigeo Koshitani and Caroline Lassueur and Benjamin Sambale},
journal= {arXiv preprint arXiv:2010.08541},
year = {2020}
}