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The classification of torsion endo-trivial modules
Publications associées (49)
The classification of endo-trivial modules
This paper settles the classification of all endo-trivial modules for a finite p-group, by treating the remaining case of a p-group having maximal elementary abelian subgroups of rank 2. It is shown that the modules constructed by Alperin using relative sy ...
2004Modules d'endo-permutation
If p is an odd prime, the group of endo-trivial modules for a metacyclic p-group is infinite cyclic generated by the Heller translate of the trivial module. The structure of the whole Dade group of endo-permutation modules can be deduced from this. Every k ...
Université de Lausanne2003Propriétés locales des groupes finis
If a Sylow p-subgroup of a finite group is a generalized extraspecial group, then its normalizer controls p-fusion, except in a small case. This can be generalized to Brauer pairs associated to a block whose defect group is a generalized extraspecial group ...
Université de Lausanne2002Group characters and unitary space-time codes
Hassibi, Hochwald, Shokrollahi and Sweldens (see tech. rep., Bell Laboratories, Lucent Technologies, 2000) classified all finite groups of unitary matrices with nonzero diversity product. It is well-known, however, that differential space- time codes with ...
2001Torsion endo-trivial modules
We prove that the group T(G) of endo-trivial modules for a non-cyclic 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 probl ...
2000The group of endo-permutation modules
The group D(P) of all endo-permutation modules for a finite p-group P is a finitely generated abelian group. We prove that its torsion-free rank is equal to the number of conjugacy classes of non-cyclic subgroups of P. We also obtain partial results on its ...
2000Bounded cohomology of lattices in higher rank Lie groups
Let G be an irreducible uniform lattice in a higher semi-simple rank Lie group or algebraic group. We prove that any G-action on the circle by C1 diffeomorphisms is finite. This is achieved by showing that natural map from bounded to usual second cohomolog ...
1999Maximal subgroups of direct products
We determine all maximal subgroups of the direct product G^n of n copies of a group G. If G is finite, we show that the number of maximal subgroups of G^n is a quadratic function of n if G is perfect, but grows exponentially otherwise. We deduce a theorem ...
1997On the lifting of the Dade group
Jacques Thévenaz, Caroline Lassueur
For the group of endo-permutation modules of a finite p-group, there is a surjective reduction homomorphism from a complete discrete valuation ring of characteristic 0 to its residue field of characteristic p. We prove that this reduction map always has a ...
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