Schur Indices and Modular Representations.
Solvable subgroups of p-solvable semilinear groups.
Some Applications of a Fundamental Theorem by Gluck and Wolf in the Character Theory of Finite Groups.
Some remarks on Dade's conjecture.
s-rings and modular representations.
Stability of Kronecker products of irreducible characters of the symmetric group.
Stable equivalences of Morita type for self-injective algebras and p-groups.
Stacks of group representations
We start with a small paradigm shift about group representations, namely the observation that restriction to a subgroup can be understood as an extension-of-scalars. We deduce that, given a group , the derived and the stable categories of representations of a subgroup can be constructed out of the corresponding category for by a purely triangulated-categorical construction, analogous to étale extension in algebraic geometry. In the case of finite groups, we then use descent methods to investigate...
Subgroups and modular representations of finite quasisimple groups
Subpair multiplicities in finite groups.
Supersolvable Automorphism Groups of Solvable Groups.
Sur la cohomologie de la compactification des variétés de Deligne-Lusztig
Nous étudions la cohomologie de la compactification des variétés de Deligne-Lusztig associées aux éléments de Coxeter. Nous présentons une conjecture des relations entre la cohomologie de la variété et la cohomologie de ses compactifications partielles. Nous prouvons la conjecture dans le cas du groupe linéaire général.
Sur la semi-simplicité des produits tensoriels de représentations de groupes.