Geometric Group Theory [electronic resource] : Geneva and Barcelona Conferences / edited by Goulnara N. Arzhantseva, JosȨ Burillo, Laurent Bartholdi, Enric Ventura.

Totally Disconnected, Locally Compact Groups as Geometric Objects -- Computational Explorations in Thompsons Group F -- On the Surjunctivity of Artinian Linear Cellular Automata over Residually Finite Groups -- Some Residually Finite Groups Satisfying Laws -- Classifying Spaces for Wallpaper Groups -- A General Construction of JSJ Decompositions -- DȨcompositions de Groupes par Produit Direct et Groupes de Coxeter -- Limit Groups of Equationally Noetherian Groups -- Solution of the Conjugacy Problem and Malnormality of Subgroups in Certain Relative Small Cancellation Group Presentations -- Solution of the Membership Problem for Magnus Subgroups in Certain One-Relator Free Products -- Conjugacy and Centralizers for Iwip Automorphisms of Free Groups -- Algebraic Extensions in Free Groups.

This volume assembles research papers in geometric and combinatorial group theory. This wide area may be defined as the study of those groups that are defined by their action on a combinatorial or geometric object, in the spirit of Kleins programme. The contributions range over a wide spectrum: limit groups, groups associated with equations, with cellular automata, their structure as metric objects, their decomposition, etc. Their common denominator is the language of group theory, used to express and solve problems ranging from geometry to logic.