## 209 Citations

Représentation par des transvections des groupes d'Artin–Tits

- Mathematics
- 2007

In a recent article, C. Kassel and C. Reutenauer studied the connection between the4 strand braid group and Sturmian morphisms in word combinatorics. The aim of the current work is to extend this…

L'INTERPRÉTATION MATRICIELLE DE LA THÉORIE DE MARKOFF CLASSIQUE

- Mathematics
- 2002

On explicite l'approche de Cohn (1955) de la theorie de
Markoff. On montre en particulier comment l'arbre complet des
solutions de l'equation diophantienne associee
apparasit comme quotient du…

A Comparison Theorem for the Topological and Algebraic Classification of Quaternionic Toric 8-Manifolds

- Mathematics
- 2009

A Comparison Theorem for the Topological and Algebraic Classification of Quaternionic Toric 8-Manifolds

On the Andreadakis Problem for Subgroups of $IA_n$

- MathematicsInternational Mathematics Research Notices
- 2019

Let $F_n$ be the free group on $n$ generators. Consider the group $IA_n$ of automorphisms of $F_n$ acting trivially on its abelianization. There are two canonical filtrations on $IA_n$: the 1st one…

Quotient groups of IA-automorphisms of a free group of rank 3

- Computer Science, MathematicsInt. J. Algebra Comput.
- 2018

It is proved that, for any positive integer c, the quotient group γc(M3)/γc+1(M2) of the lower central series of the McCool group M3 is isomorphic to two copies of the quotients group εγc(F3/γc-1(F4) of a free group F3 of rank 3 as ℤ-modules.

The complex of partial bases for Fn and finite generation of the Torelli subgroup of Aut (Fn)

- Mathematics
- 2010

We study the complex of partial bases of a free group, which is an analogue for Aut(Fn) of the curve complex for the mapping class group. We prove that it is connected and simply connected, and we…

Relative Weight Filtrations on Completions of Mapping Class Groups

- Mathematics
- 2008

This paper gives an exposition of relative weight filtrations on completions of mapping class groups associated to a stable degeneration of marked genus g curves. These relative weight filtrations…

Linear Representations of the Automorphism Group of a Free Group

- Mathematics
- 2006

Abstract.Let Fn be the free group on n ≥ 2 elements and Aut(Fn) its group of automorphisms. In this paper we present a rich collection of linear representations of Aut(Fn) arising through the action…

Actions of the homeotopy group of an orientable 3-dimensional handlebody

- Mathematics
- 1978

The actions of the homeotopy group of an orientable 3-dimensional handlebody on the fundamental group and on the first homology group are completely determined. As an application generators are…