34 citations · 35 across the 2 of their papers we have counts for
5 papers
On the Limit Set of Root Systems of Coxeter Groups acting on Lorentzian spaces
Christophe Hohlweg, Jean-Philippe Préaux, Vivien Ripoll
The notion of limit roots of a Coxeter group W was recently introduced (see arXiv:1112.5415 and arXiv:1303.6710): they are the accumulation points of directions of roots of a root…
A survey on Seifert fiber space conjecture
Jean-Philippe Préaux
We recall the history of the proof of Seifert fibre space conjecture, as well as it motivations and its several generalisations.
The conjugacy problem in groups of non-orientable 3-manifolds
Jean-Philippe Préaux
We prove that fundamental groups of non-orientable 3-manifolds have a solvable conjugacy problem, and construct an algorithm. Together with our earlier work on the conjugacy proble…
Group extensions with infinite conjugacy classes
Jean-Philippe Préaux
We characterize the group property of being with infinite conjugacy classes (or icc, i.e. infinite and of which all conjugacy classes except {1} are infinite) for groups which are…
C-simple groups: amalgamated free products, HNN extensions, and fundamental groups of 3-manifolds
Pierre de la Harpe, Jean-Philippe Préaux
We establish sufficient conditions for the C-simplicity of two classes of groups. The first class is that of groups acting on trees, such as amalgamated free products, HNN-exte…