21 citations
5 papers
Peripherally specified homomorphs of link groups
V. Kurlin, D. Lines
Johnson and Livingston have characterized peripheral structures in homomorphs of knot groups. We extend their approach to the case of links. The main result is an algebraic charact…
Diamond representations of
Didier Arnal, Nadia Bel Baraka, Norman J. Wildberger
In \cite{W}, there is a graphic description of any irreducible, finite dimensional module. This construction, called diamond representation is very simple and ca…
On invariant measures of finite affine type tilings
S. Petite
In this paper, we consider tilings of the hyperbolic 2-space, built with a finite number of polygonal tiles, up to affine transformation. To such a tiling T, we associate a space o…
Irreducible Coxeter groups
Luis Paris
We prove that a non-spherical irreducible Coxeter group is (directly) indecomposable and that a non-spherical and non-affine Coxeter group is strongly indecomposable in the sense t…
From braid groups to mapping class groups
Luis Paris
This paper is a survey of some properties of the braid groups and related groups that lead to questions on mapping class groups.