Gluing torsion endo-permutation modules

Gluing torsion endo-permutation modules

Let k be a field of characteristic p, and P be a finite p-group, where p is an odd prime. In this paper, we consider the problem of gluing compatible families of endo-permutation modules : being given a torsion element MQ in the Dade group D(NP (Q)/Q), for each non-trivial subgroup Q of P , subject to obvious compatibility conditions, we show that it is always possible to find an element M in t...

Gluing endo-permutation modules

In this paper, I show that if p is an odd prime, and if P is a finite p-group, then there exists an exact sequence of abelian groups 0→ T (P )→ D(P )→ lim ←− 1<Q≤P D (

A Construction of Endo-permutation Modules

Endo-permutation Modules, a Guided Tour

This survey paper gives an overview of the recent classification of all endopermutation kP -modules, where P is a finite p-group and k is a field of characteristic p. It is an expanded version of two talks given in April 2005 during a special workshop on endo-permutation modules, organized within the program of the Bernoulli Centre of EPFL. The classification of endo-permutation modules was com...

The classification of torsion endo - trivial modules

This paper settles a problem raised at the end of the seventies by J.L. Alperin [Al1], E.C. Dade [Da] and J.F. Carlson [Ca1], namely the classification of torsion endo-trivial modules for a finite p-group over a field of characteristic p. Our results also imply, at least when p is odd, the complete classification of torsion endo-permutation modules. We refer to [CaTh] and [BoTh] for an overview...