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For each integer $k \geq 6$ and each finite graph $L$ , we construct a Coxeter group $W$ and a non positively curved polygonal complex $A$ on which $W$ acts properly cocompactly, such that each polygon of $A$ has $k$ edges, and the link of each vertex of $A$ is isomorphic to $L$ . If $L$ is a “generalized $m$ -gon”, then $A$ is a Tits building modelled on a reflection group of the hyperbolic plane. We give a condition on $Aut (L)$ for $Aut (A)$ to be non enumerable (which is satisfied if $L$ is a thick classical generalized $m$ -gon). On the other hand,...

Residually finite PSP-groups

A. Mohammadi Hassanabadi (1999)

Rendiconti del Seminario Matematico della Università di Padova

Restoration of structure

Peter Hilton, Joseph Roitberg (1981)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Restricted set addition in groups. II: A generalization of the Erdős-Heilbronn conjecture.

Lev, Vsevolod F. (2000)

The Electronic Journal of Combinatorics [electronic only]

Rigidity of graph products of groups.

Radcliffe, David G. (2003)

Algebraic & Geometric Topology

Rigidity of skew-angled Coxeter groups.

Mühlherr, Bernhard, Weidmann, Richard (2002)

Advances in Geometry

Rings of Fricke Characters and Automorphism Groups of Free Groups.

Wilhelm Magnus (1980)

Mathematische Zeitschrift

Root systems for two dimensional complex reflection groups.

Hughes, Mervyn C., Morris, Alun O. (2001)

Séminaire Lotharingien de Combinatoire [electronic only]

R-trees and the Bieri-Neumann-Strebel invariant.

Gilbert Levitt (1994)

Publicacions Matemàtiques

Let G be a finitely generated group. We give a new characterization of its Bieri-Neumann-Strebel invariant Σ(G), in terms of geometric abelian actions on R-trees. We provide a proof of Brown's characterization of Σ(G) by exceptional abelian actions of G, using geometric methods.

Salvetti complex, spectral sequences and cohomology of Artin groups

Filippo Callegaro (2014)

Annales de la faculté des sciences de Toulouse Mathématiques

The aim of this short survey is to give a quick introduction to the Salvetti complex as a tool for the study of the cohomology of Artin groups. In particular we show how a spectral sequence induced by a filtration on the complex provides a very natural and useful method to study recursively the cohomology of Artin groups, simplifying many computations. In the last section some examples of applications are presented.

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Representations of cyclically ordered groups

Representations of polygons of finite groups.

Representing Countable Groups by Homeomorphism Groups in Hilbert Space.

Representing subgroups of finitely presented groups by quotient subgroups.

Rescuing the Whitehead Method for Free Products, I: Peak Reduction.

Rescuing the Whitehead Method for Free Products, II: The Algorithm.

Réseaux de Coxeter-Davis et commensurateurs