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After preliminary definitions and a review (in the first section) of the basic structures (such as Frobenius Fm and Verschiebung Vm) of the Witt ring W(R) of a ring R, we present our main...
We prove that every finitely generated nilpotent group of class c admits a polynomial isoperimetric function of degree c+1 and a linear upper bound on its filling length function.
The filling radius function R of Gromov measures the minimal radii of van Kampen diagrams filling edge-circuits w in the Cayley 2-complex of a finite presentation P. It is known that the Dehn function...
In this paper we initiate a quantitative theory of trace characters  of reductive p-adic groups when the representation  varies. Our approach is based on the local constancy of characters and we su...
Let S be the Lie group{mathbb R}^nltimes {mathbb R}$, where ${mathbb R}acts on {mathbb R}^n by dilations,endowed with the left-invariantRiemannian symmetric space structure and the right Haar measure ...
We study groups of formal diffeomorphisms in several complex variables. For abelian,metabelian or nilpotent groups we investigate the existence of suitable formal vector fields and closed differential...
In this paper we study singular integrals on small (that is, measure zero and lower than full dimensional) subsets of metric groups. The main examples of the groups we have in mind are Euclidean space...
We prove that all but finitely many zeros of Weng's zeta function for a Chevalley group defined over $\Q$ are simple and on the critical line.
We study the geodesic growth function for finitely gen-erated groups, and we show that there is a strong relation be-tween virtually cyclic groups and the existence of generating sets for which geode...
A slight modification of the definition of the Thompson-Higman groups Gk,1 and Fk,1 leads to inverse monoids that map onto Gk,1 (respectively Fk,1), and that have interesting properties: they are fin...
If a partition  of size n is chosen randomly according to the Plancherel measure Pn[] = (dim )2=n!, then as n goes to infinity, the rescaled shape of  is with high probability very close to a non...
Using the notion of h-subdifferential, we characterize both first and second order differentiability of h-convex functions in stratified groups. We show that Aleksandrov’s second order differentiabili...
In this paper we classify the finite groups whose abelian subgroups of equal order (B*-groups) are conjugate. The classification has been achieved by means of a lot of general structure properties of ...

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