The upper central series of some matrix groups
The virtual and universal braids
We study the structure of the virtual braid group. It is shown that the virtual braid group is a semi-direct product of the virtual pure braid group and the symmetric group. Also, it is shown that the virtual pure braid group is a semi-direct product of free groups. From these results we obtain a normal form of words in the virtual braid group. We introduce the concept of a universal braid group. This group contains the classical braid group and has as quotients the singular braid group, virtual...
The virtual cohomological dimension of the mapping class group of an orientable surface.
The virtual Haken conjecture: Experiments and examples.
The width of a power of a free nilpotent group of nilpotency class 2.
The word problem in polycyclic groups is elementary
The Yang-Baxter equation and invariants of links.
The Yokonuma-Temperley-Lieb algebra
We define the Yokonuma-Temperley-Lieb algebra as a quotient of the Yokonuma-Hecke algebra over a two-sided ideal generated by an expression analogous to the one of the classical Temperley-Lieb algebra. The main theorem provides necessary and sufficient conditions for the Markov trace defined on the Yokonuma-Hecke algebra to pass through to the quotient algebra, leading to a sequence of knot invariants which coincide with the Jones polynomial.
The Zassenhaus decomposition for the orthogonal group: properties and applications.
Théorèmes de Sylow génériques pour les groupes réductifs sur les corps finis.
Thompson's group is not minimally almost convex.
Three amalgams of A_5
Tight quotients and double quotients in the Bruhat order.
Topics in statistical physics involving braids
We review the appearance of the braid group in statistical physics. In particular, we explain its relevance to the anyon model of fractional statistics and conformal field theory.
Topological characterizations of ordered groups with quasi-divisor theory
For an order embedding of a partly ordered group into an -group a topology is introduced on which is defined by a family of valuations on . Some density properties of sets , and ( being -ideals in ) in the topological space are then investigated, each of them being equivalent to the statement that is a strong theory of quasi-divisors.
Topological components of spaces of representations.
Topological dimensions for -groups.
Topological geodesics and virtual rigidity.
Topologically locally finite groups with a CC-subgroup.
Topologisch Linksengelsche Elemente.