The Dade group of a fusion system

DOI10.1515/JGT.2008.060zbMath1171.19001MaRDI QIDQ3619540

Markus Linckelmann, Nadia Mazza

Publication date: 8 April 2009

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

fusion system\(p\)-groupendo-permutation moduleDade group

Mathematics Subject Classification ID

Modular representations and characters (20C20) Frobenius induction, Burnside and representation rings (19A22)

Related Items (10)

Connected components of the category of elementary Abelian \(p\)-subgroups. ⋮ The Dade group of Mackey functors for \(p\)-groups ⋮ On Picard groups of blocks of finite groups ⋮ A tour of \(p\)-permutation modules and related classes of modules ⋮ The Dade group of a finite group. ⋮ Linear source invertible bimodules and Green correspondence ⋮ Brauer-friendly modules and slash functors. ⋮ The fibered Burnside group of a fusion system ⋮ Fusion systems on small 𝑝-groups ⋮ On stable equivalences with endopermutation source.

Cites Work

• Local methods in block theory
• Affirmative answer to a question of Feit.
• A Frobenius theorem for blocks
• Endo-permutation modules over p-groups. I
• Almost all generalized extraspecial \(p\)-groups are resistant
• The Dade group of (almost) extraspecial \(p\)-groups.
• The classification of \(p\)-local finite groups over the extraspecial group of order \(p^3\) and exponent \(p\).
• The group of endo-permutation modules
• The Dade group of a \(p\)-group.
• Une correspondance de modules pour les blocs à groupes de défaut abéliens. (A module correspondence for the blocks of groups with abelian defect)
• The homotopy theory of fusion systems
• Tensor induction of relative syzygies
• A sectional characterization of the Dade group
• Endotrivial modules for finite groups of Lie type
• Torsion endo-trivial modules

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