Endo-permutation modules over p-groups. I
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Publication:1252915
DOI10.2307/1971125zbMath0395.16007OpenAlexW2034237796MaRDI QIDQ1252915
Publication date: 1978
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1971125
Jacobson RadicalLocal RingCapped LatticesCapsCommutative Valuation RingD- ModuleDq-LatticeEndo-Permutation ModulesGroup AlgebraP-Groups
Endomorphism rings; matrix rings (16S50) Group rings (16S34) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)
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Indecomposable endo-permutation modules over p-groups ⋮ Endotrivial modules for finite groups via homotopy theory ⋮ Endo-monomial modules over \(p\)-groups and their classification in the Abelian case. ⋮ A remark on the Dade group and the Burnside group ⋮ Endo-trivial modules for finite groups with dihedral Sylow 2-subgroup ⋮ Trivial source endo-trivial modules for finite groups with semi-dihedral Sylow 2-subgroups ⋮ Representations of finite groups ⋮ Gluing endo-permutation modules ⋮ The Dade group of Mackey functors for \(p\)-groups ⋮ Une correspondance de modules pour les blocs à groupes de défaut abéliens. (A module correspondence for the blocks of groups with abelian defect) ⋮ The group of endotrivial modules in the normal case. ⋮ Endotrivial modules for nilpotent restricted Lie algebras ⋮ On Alperin's weight conjecture for \(p\)-blocks of \(p\)-solvable groups. ⋮ Characters and local structure in G-algebras ⋮ A tour of \(p\)-permutation modules and related classes of modules ⋮ The sources of simple modules ofp-solvable groups with elementary abelianp-sylow group of orderp2 ⋮ The Dade group of a finite group. ⋮ Lifting endo-\(p\)-permutation modules ⋮ Endotrivial modules for finite groups of Lie type \(A\) in nondefining characteristic ⋮ Gluing of endopermutation modules ⋮ Universal deformation rings, endo-trivial modules, and semidihedral and generalized quaternion 2-groups ⋮ Lifting endo-trivial modules ⋮ A construction of endo-permutation modules ⋮ Toward a classification of endotrivial modules ⋮ Relative projectivity and relative endotrivial modules. ⋮ Categorical constructions related to finite groups ⋮ On the sources of simple modules in nilpotent blocks. ⋮ The non‐projective part of the tensor powers of a module ⋮ Endotrivial modules for the general linear group in a nondefining characteristic. ⋮ Endo-\(p\)-permutation modules. ⋮ Endotrivial modules for finite group schemes ⋮ Endopermutation Scott modules, slash indecomposability and saturated fusion systems ⋮ Some refinements of Dade's projective conjecture. ⋮ Above the Glauberman correspondence. ⋮ Brauer-friendly modules and slash functors. ⋮ Trivial source characters in blocks with cyclic defect groups ⋮ The crossed Burnside ring, the Drinfel'd double, and the Dade group of a \(p\)-group ⋮ Biset functors and genetic sections for \(p\)-groups ⋮ Monomial Modules and Endo-Monomial Modules ⋮ The Dade group of a \(p\)-group. ⋮ The classification of endo-trivial modules. ⋮ Constructing endotrivial modules. ⋮ Jordan types for indecomposable modules of finite group schemes ⋮ Trivial-source endotrivial modules for sporadic groups ⋮ The ring of modules with endo-permutation source. ⋮ The Glauberman correspondent of a nilpotent block of a finite group. ⋮ Endo-permutation modules as sources of simple modules ⋮ Endo-permutation modules arising from the action of a p-group on a defect zero block ⋮ The Dade group of a fusion system ⋮ Modules of constant Jordan type ⋮ Extensions of nilpotent blocks ⋮ Endotrivial modules for finite groups of Lie type ⋮ Modules in the sources of Green's exact sequences for cyclic blocks ⋮ Endo-permutation modules in p-solvable groups ⋮ Varieties in block theory ⋮ On blocks of finite groups with a certain factorization ⋮ On endotrivial modules for Lie superalgebras ⋮ Galois descent of equivalences between blocks of 𝑝-nilpotent groups ⋮ Vertices of Lie modules. ⋮ Endotrivial modules for the sporadic simple groups and their covers.
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