Jacques Thévenaz

The Structure of Mackey Functors

Keywords: blocks ; finite groups ; category of finite

Torsion endo-trivial modules

G

Fonction de Möbius d'un groupe fini et anneau de Burnside

-sets ; diagrams of

Type d'homotopie des treillis et treillis des sous-groupes d'un groupe fini

G

Endotrivial modules for

-sets ; category of Mackey functors ; category of modules ; path algebras ; quiver with relations ; composition factors ; Cartan matrices ; decomposition matrices ; Burnside rings ; projective Mackey functors ; orthogonal idempotents ;

p

p

-solvable groups.

-perfect subgroups ; vertices ; sources ; Green correspondents ;

Relative projective covers and almost split sequences

p

The top homology of the lattice of subgroups of a soluble group

-groups ; indecomposable projective Mackey functors ; source modules ; Hecke algebras ; restriction ; corestriction ; group cohomology ; finite representation type ; Brauer trees Reference CTG-ARTICLE-1995-002doi:10.2307/2154915 Record created on 2008-12-16, modified on 2017-05-12

Equivariant K-theory and Alperin's conjecture

We prove that the group T(G) of endo-trivial modules for a noncyclic finite p-group G is detected on restriction to the family of subgroups which are either elementary Abelian of rank 2 or (almost) extraspecial. This result is closely related to the problem of finding the torsion subgroup of T(G). We give the complete structure of T(G) when G is dihedral, semi-dihedral, or quaternion.