Embeddings of finite classical groups over field extensions and their geometry.
Endlich präsentierte arithmetische Gruppen und K2 über Laurent-Polynomringen.
Endliche Spiegelungsgruppen, die als Weylgruppen auftreten.
Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics
We present a survey of results on word equations in simple groups, as well as their analogues and generalizations, which were obtained over the past decade using various methods: group-theoretic and coming from algebraic and arithmetic geometry, number theory, dynamical systems and computer algebra. Our focus is on interrelations of these machineries which led to numerous spectacular achievements, including solutions of several long-standing problems.
Erratum: Multiplicative stability for the cohomology of finite Chevalley groups. Math. Helvetici 63 (1988), 108-113.
Expansion and random walks in : I
We prove that the Cayley graphs of are expanders with respect to the projection of any fixed elements in generating a Zariski dense subgroup.
Expansion and random walks in : II
Expansion in finite simple groups of Lie type
We show that random Cayley graphs of finite simple (or semisimple) groups of Lie type of fixed rank are expanders. The proofs are based on the Bourgain-Gamburd method and on the main result of our companion paper [BGGT].
Exponential sums for O¯(2n,q) and their applications
Exponents of almost simple groups and an application to the restricted Burnside problem.
Faisceaux caractères
Finite dimensional modules of some quantum groups over Fp (v).
Fonctions des variétés de Deligne-Lusztig et descente de Shintani
Gauss sum for the adjoint representation of and
Gauss sums for O⁺(2n,q)
Gauss sums for O⁻(2n,q)
Gauss sums for orthogonal groups over a finite field of characteristic two
Gauss Sums for Symplectic Groups Over a Finite Field.
Gelfand-Graev characters of the finite unitary groups.
General linear and functor cohomology over finite fields.