Algebra of antisymmetric characteristics.
Algunas observaciones acerca de matrices triangulares sobre anillos
All Two-Gnerator Fuchsian Group.
Almost-Bieberbach groups with prime order holonomy
The main issue of this paper is an attempt to find a decomposition theorem for infra-nilmanifolds in the same spirit as a result of A. Vasquez for flat Riemannian manifolds. That is: we look for infra-nilmanifolds with prime order holonomy which can be obtained as a fiber space with a non-trivial nilmanifold as fiber and an infra-nilmanifold as its base. In this perspective, we prove the following algebraic result: if E is an almost-Bieberbach group with prime order holonomy,...
An algorithm for finding the Veech group of an origami.
An application of metric diophantine approximation in hyperbolic space to quadratic forms.
For any real τ, a lim sup set WG,y(τ) of τ-(well)-approximable points is defined for discrete groups G acting on the Poincaré model of hyperbolic space. Here y is a 'distinguished point' on the sphere at infinity whose orbit under G corresponds to the rationals (which can be regarded as the orbit of the point at infinity under the modular group) in the classical theory of diophantine approximation.In this paper the Hausdorff dimension of the set WG,y(τ) is determined for geometrically finite groups...
An approach to zeta-function of finite factorgraph via the Markov topological chains
An example of an arithmetic Fuchsian group.
An inverse matrix of an upper triangular matrix can be lower triangular
In this note we explain why the group of n×n upper triangular matrices is defined usually over commutative ring while the full general linear group is defined over any associative ring.
Application aux fonctions circulaires et aux fonctions elliptiques d'une méthode générale de détermination des fonctions dont on donne le groupe des substitutions
Application of Hoare's theorem to symmetries of Riemann surfaces.
Arithmetic of stabilizers of ideals in group rings.
Arithmeticity of the irreducible lattices in the semi-simple groups of rank greater than 1.
Arrangements Defined by Unitary Reflection Groups.
Artin-Gruppen und Coxeter-Gruppen.
Asymptotic laws for geodesic homology on hyperbolic manifolds with cusps
We consider a large class of non compact hyperbolic manifolds with cusps and we prove that the winding process generated by a closed -form supported on a neighborhood of a cusp , satisfies a limit theorem, with an asymptotic stable law and a renormalising factor depending only on the rank of the cusp and the Poincaré exponent of . No assumption on the value of is required and this theorem generalises previous results due to Y. Guivarc’h, Y. Le Jan, J. Franchi and N. Enriquez.
Automatic stochastic control of impulses on a three-dimensional crystallographic lattice
Automorphism groups of compact Klein surfaces with one boundary component.
Automorphism Groups of Compact Planar Klein Surfaces.
Automorphism groups of orientable elliptic-hyperelliptic Klein surfaces.