Jacques Thévenaz

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Related publications (26)

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Stabilizing bisets

Jacques Thévenaz, Serge Bouc

Let G be a finite group and let R be a commutative ring. We analyse the (G,G)-bisets which stabilize an indecomposable RG-module. We prove that the minimal ones are unique up to equivalence. This result has the same flavor as the uniqueness of vertices and ...

2012

Lifting endo-p-permutation modules

Jacques Thévenaz, Caroline Lassueur

We prove that all endo-p-permutation modules for a finite group are liftable from characteristic p to characteristic 0. ...

2018

Torsion-free endotrivial modules

Jacques Thévenaz

Let G be a finite group and let T(G) be the abelian group of equivalence classes of endotrivial kG-modules, where k is an algebraically closed field of characteristic p. We investigate the torsion-free part TF(G) of the group T(G) and look for generators o ...

Elsevier2014

Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup

Jacques Thévenaz

Let G be a finite group with a Sylow 2-subgroup P which is either quaternion or semi-dihedral. Let k be an algebraically closed field of characteristic 2. We prove the existence of exotic endotrivial kG-modules, whose restrictions to P are isomorphic to th ...

European Mathematical Soc2013

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

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