Jacques Thévenaz

Publications associées (26)

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Endotrivial modules for p-solvable groups

Jacques Thévenaz, Nadia Mazza

We determine the torsion subgroup of the group of endotrivial modules for a finite solvable group in characteristic p. We also prove that our result would hold for p-solvable groups, provided a conjecture can be proved about the case of p-nilpotent groups. ...

2011

The primitive idempotents of the p-permutation ring

Jacques Thévenaz, Serge Bouc

Let G be a finite group, let p be a prime number, and let K be a field of characteristic 0 and k be a field of characteristic p, both large enough. In this note, we state explicit formulae for the primitive idempotents of the ring of p-permutation kG-modul ...

Elsevier2010

Gluing torsion endo-permutation modules

Jacques Thévenaz, Serge Bouc

Given a finite p-group P, the main result gives necessary and sufficient conditions for obtaining a torsion endo-permutation module for P by gluing a compatible family of torsion endo-permutation modules for all sections N(Q)/Q, where Q runs among non-triv ...

2008

A sectional characterization of the Dade group

Jacques Thévenaz, Serge Bouc

Let k be a field of characteristic p, let P be a finite p-group, where p is an odd prime, and let D(P) be the Dade group of endo-permutation kP-modules. It is known that D(P) is detected via deflation-restriction by the family of all sections of P which ar ...

2008

Endotrivial modules in the cyclic case

Jacques Thévenaz, Nadia Mazza

We determine all endotrivial modules in prime characteristic p, for a finite group having a cyclic Sylow p-subgroup. In other words, we describe completely the group of endotrivial modules in that case. ...

2007

The classification of torsion endo-trivial modules

Jacques Thévenaz

The main purpose of this paper is to show that, if G is a finite p-group which is not cyclic, quaternion or semi-dihedral, then the group of endo-trivial G-modules is detected on restriction to elementary abelian p-subgroups of rank 2. Consequently, the to ...

2005

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