Geometric group theory by Druţu, C, Kapovich, M

“…The primary focus of this book is to cover the foundations of geometric group theory, including coarse topology, ultralimits and asymptotic cones, hyperbolic groups, isoperimetric inequalities, growth of groups, amenability, Kazhdan's ...…”

Metric Geometry & Geometric Group Theory by Lentz, Eloy

Riemannian Geometry & Geometric Group Theory by Duckworth, Myrta

Kähler groups and Geometric Group Theory by Isenrich, C

“…<p>In this thesis we study Kähler groups and their connections to Geometric Group Theory. This work presents substantial progress on three central questions in the field:</p> <p><ol><li>Which subgroups of direct products of surface groups are Kähler?…”

Geometric Group Theory [electronic resource] : Geneva and Barcelona Conferences/ by Barcelona Conference in Group Theory (2005 : Catalonia, Spain), Arzhantseva, Goulnara N., SpringerLink (Online service)

Subjects: “…Geometric group theory…”
Get full text

Encoding and detecting properties in finitely presented groups by Gardam, G

Subjects: “…Geometric Group Theory…”

Free groups and Stallings' folding by Ascari, D

Subjects: “…Geometric group theory…”

Quasi-trees and product set growth by Kerr, A

Subjects: “…Geometric group theory…”

Asymptotic dimension of one-relator groups and coxeter groups by Tselekidis, P

Subjects:

Profinite and residual properties of fibred groups by Kudlinska, M

Subjects:

From Practice to New Concepts: Geometric Properties of Groups by Irina Starikova

“…The argument is based on a case study from a relatively recent and promising mathematical subject—geometric group theory. The paper discusses how the representation of groups by Cayley graphs made possible to discover new geometric properties of groups.…”
Get full text

Simply connected homogeneous continua are not separated by arcs by Kallipoliti, M, Papasoglu, P

“…We ask several questions about homogeneous continua which are inspired by analogous questions in geometric group theory.…”

The Problems of Dimension Four, and Some Ramifications by Valentin Poénaru

“…I consider, in particular, the role of geometric simple connectivity (which means handle decomposition without handles of index one) for both closed manifolds and open manifolds and for finitely presented groups, together with some of recent developments in geometric group theory.…”
Get full text

On the Geometry and Topology of Discrete Groups: An Overview by Renata Grimaldi

“…In this paper, we provide a brief introduction to the main notions of geometric group theory and of asymptotic topology of finitely generated groups. …”
Get full text

Elementary knot theory by Lackenby, M

“…In fact, one of the attractions of knot theory is its extensive interactions with many different branches of mathematics: 3-manifold topology, hyperbolic geometry, Teichm¨uller theory, gauge theory, mathematical physics, geometric group theory, graph theory and many other fields.…”

Introducción a la teoría geométrica de grupos by Olga Salazar-Díaz, Gabriel Vergara-Ríos

“…In this article we will give an introduction to geometric group theory. We will see how from a finite presentation of a group, we can give this group a metric space structure. …”
Get full text

Asymptotic dimension of minor-closed families and Assouad–Nagata dimension of surfaces by Bonamy, M, Bousquet, N, Esperet, L, Groenland, C, Liu, C-H, Pirot, F, Scott, A

“…The asymptotic dimension is an invariant of metric spaces introduced by Gromov in the context of geometric group theory. In this paper, we study the asymptotic dimension of metric spaces generated by graphs and their shortest path metric and show their applications to some continuous spaces. …”

Constructions in stable commutator length and bounded cohomology by Heuer, N

“…Since then it has sparked much research in Geometric Group Theory. However, it is notoriously hard to explicitly compute bounded cohomology, even for the most basic groups: There is no finitely generated group G for which the full bounded cohomology with real coefficients is known except where it is known to vanish in all degrees (see [Mon06]). …”

Cayley graphs and complexity geometry by Henry W. Lin

“…This connection allows us to translate results from the geometrical group theory literature into statements about complexity. …”
Get full text