Endotrivial complexes

DOI10.1016/J.JALGEBRA.2024.03.029MaRDI QIDQ6496982

Sam K. Miller

Publication date: 6 May 2024

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

zbMATH Keywords

biset functorstrivial source ringorthogonal unitendotrivial complexsplendid Rickard complex

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05) Frobenius induction, Burnside and representation rings (19A22)

Cites Work

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• The classification of endo-trivial modules.
• Burnside rings of fusion systems and their unit groups
• On the unit groups of Burnside rings
• Affirmative answer to a question of Feit.
• Biset functors for finite groups
• The orthogonal unit group of the trivial source ring
• The functor of units of Burnside rings for \(p\)-groups
• A construction of endo-permutation modules
• The Cohomology Ring of a Finite Group
• On $p$-permutation equivalences: Between Rickard equivalences and isotypies
• The Block Theory of Finite Group Algebras
• Splendid Equivalences: Derived Categories and Permutation Modules
• Endotrivial Modules
• Endotrivial modules for finite groups of Lie type
• Torsion endo-trivial modules
• A tour of \(p\)-permutation modules and related classes of modules

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