Splendid Morita equivalences for principal blocks with semidihedral defect groups

authored by

Shigeo Koshitani, Caroline Lassueur, Benjamin Sambale

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.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

Chiba University
University of Kaiserslautern

Type

Article

Journal

Proceedings of the American Mathematical Society

Volume

150

Pages

41-53

No. of pages

13

ISSN

0002-9939

Publication date

2022

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Mathematics(all), Applied Mathematics

Electronic version(s)

https://doi.org/10.1090/proc/15631 (Access: Closed)