The indecomposability of a certain bimodule given by the Brauer construction.

DOI10.1016/J.JALGEBRA.2004.08.031zbMath1069.20008OpenAlexW2017883233WikidataQ112881488 ScholiaQ112881488MaRDI QIDQ1772443

Shigeo Koshitani, Markus Linckelmann

Publication date: 18 April 2005

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

Full work available at URL: http://openaccess.city.ac.uk/1905/1/indec13.pdf

zbMATH Keywords

group algebrasderived equivalencesblocksdirect summandsBroué conjectureverticesstable equivalencesBrauer pairsBrauer construction

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (9)

Broué's Abelian defect group conjecture for the Held group and the sporadic Suzuki group. ⋮ Broué's abelian defect group conjecture and 3-decomposition numbers of the sporadic simple Conway group \(Co_1\). ⋮ Broué's Abelian defect group conjecture holds for the sporadic simple Conway group \(Co_3\). ⋮ On saturated fusion systems and Brauer indecomposability of Scott modules. ⋮ Endopermutation Scott modules, slash indecomposability and saturated fusion systems ⋮ Broué's Abelian defect group conjecture holds for the Janko simple group \(J_4\). ⋮ Broué's Abelian defect group conjecture holds for the Harada-Norton sporadic simple group \(HN\). ⋮ Note on hyperfocal subalgebras of blocks of finite groups. ⋮ The Brauer indecomposability of Scott modules for the quadratic group \(\mathrm{Qd}(p)\)

Cites Work

• Unnamed Item
• Local methods in block theory
• Characters and local structure in G-algebras
• Pointed groups and construction of characters
• Broué's Abelian defect group conjecture for the Held group and the sporadic Suzuki group.
• Source algebras and source modules
• On splendid derived and stable equivalences between blocks and finite groups

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