Splendid Morita equivalences for principal blocks with generalised quaternion defect groups

DOI10.1016/j.jalgebra.2019.03.038zbMath1481.20031arXiv1807.04497OpenAlexW2963918555MaRDI QIDQ2182361

Shigeo Koshitani, Caroline Lassueur

Publication date: 23 May 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.04497

zbMATH Keywords

Scott modulesBrauer indecomposabilitygeneralised quaternion 2-groupssplendid Morita equivalences

Mathematics Subject Classification ID

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)

Related Items

The Brauer indecomposability of Scott modules with vertex $Q_{2^n}\times C_{2^m}$ ⋮ Relative stable equivalences of Morita type for the principal blocks of finite groups and relative Brauer indecomposability ⋮ The group of splendid Morita equivalences of principal 2-blocks with dihedral and generalised quaternion defect groups ⋮ Character triples and equivalences over a group graded \(G\)-algebra ⋮ The Brauer indecomposability of Scott modules with wreathed 2-group vertices ⋮ Splendid Morita equivalences for principal blocks with semidihedral defect groups ⋮ Brauer indecomposability of Scott modules with semidihedral vertex

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