Presentations of surface braid groups by graphs
We extend and generalise Sergiescu's results on planar graphs and presentations for the braid group Bₙ to other topological generalisations of Bₙ.
Presentations of the Amalgamated Free Product of two Infinite Cycles.
Preservation and Distortion of Area in Finitely Presented Groups.
Primitives in the Free Group on Two Generators.
Products of Conjugacy Classes in a Free Group: a Counterexample.
Pure braid subgroups of braided Thompson's groups.
Q-perfect groups and universal Q-central extensions.
Using results of Ellis-Rodríguez Fernández, an explicit description by generators and relations is given of the mod q Schur multiplier, and this is shown to be the kernel of a universal q-central extension in the case of a q-perfect group, i.e. one which is generated by commutators and q-th powers. These results generalise earlier work [by] K. Dennis and Brown-Loday.
Quasibases of -groups
Quasi-isometric maps and Floyd boundaries of relatively hyperbolic groups
We describe the kernel of the canonical map from the Floyd boundary of a relatively hyperbolic group to its Bowditch boundary. Using the Floyd completion we further prove that the property of relative hyperbolicity is invariant under quasi-isometric maps. If a finitely generated group admits a quasi-isometric map into a relatively hyperbolic group then is itself relatively hyperbolic with respect to a system of subgroups whose image under is situated within a uniformly bounded distance...
Quotients of Coxeter complexes, fundamental groupoids and Regular Graphs.
Random walks on finite rank solvable groups
We establish the lower bound , for the large times asymptotic behaviours of the probabilities of return to the origin at even times , for random walks associated with finite symmetric generating sets of solvable groups of finite Prüfer rank. (A group has finite Prüfer rank if there is an integer , such that any of its finitely generated subgroup admits a generating set of cardinality less or equal to .)
Real Elements in Small Cancellation Groups.
Real Strict Localizations.
Recherche des graphes des matrices de Coxeter hyperboliques d’ordre
Rectificatif à l'article «Présentation de certains couples fischériens de type classique»
Recursively Presented Two Generated Infinite p-Groups.
Regular geodesic languages and the falsification by fellow traveler property.
Regular neighbourhoods and canonical decompositions for groups.
Relation modules of finite groups and related topics.
Relation modules of infinite groups, II
Let F n denote the free group of rank n and d(G) the minimal number of generators of the finitely generated group G. Suppose that R ↪ F m ↠ G and S ↪ F m ↠ G are presentations of G and let and denote the associated relation modules of G. It is well known that even though it is quite possible that . However, to the best of the author’s knowledge no examples have appeared in the literature with the property that . Our purpose here is to exhibit, for each integer k ≥ 1, a group G that has presentations...