Splendid Morita equivalences for principal blocks with semidihedral defect groups

DOI10.1090/proc/15631zbMath1489.20007arXiv2010.08541OpenAlexW3157160645MaRDI QIDQ5164030

Caroline Lassueur, Benjamin Sambale, Shigeo Koshitani

Publication date: 9 November 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.08541

zbMATH Keywords

blockdefect groupsplendid Morita equivalencesource algebraDonovan's conjectureScott modulePuig's finiteness conjecture

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Module categories in associative algebras (16D90) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of finite groups of Lie type (20C33)

Uses Software

• GAP
• AtlasRep

Cites Work

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• Finite Groups with Quasi-Dihedral and Wreathed Sylow 2-Subgroups
• On splendid derived and stable equivalences between blocks and finite groups

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