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Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and graph theory. This carefully written textbook provides a rigorous introduction to this rapidly evolving field whose methods have proven to be powerful tools in neighbouring fields such as geometric topology. Geometric group theory is the study of finitely generated groups via the geometry of their associated Cayley graphs. It turns out that the essence of the geometry of such groups is captured in the key notion of quasi-isometry, a large-scale version of isometry whose invariants include growth types, curvature conditions, boundary constructions, and amenability. This book covers the foundations of quasi-geometry of groups at an advanced undergraduate level. The subject is illustrated by many elementary examples, outlooks on applications, as well as an extensive collection of exercises.

...mer reviews and review ratings for Geometric Group Theory: An Introduction (Universitext) at Amazon ... Geometric Group Theory: An Introduction 1st ed. 2017 ... ... .com. Read honest and unbiased product reviews from our users. A primer to geometric group theory. Free groups, group presentations; Cayley graphs and complexes; Groups as geometric objects; Van Kampen diagrams; Hyperbolic groups; Suggested reading. This text, originally written as an introduction to my book on random groups, gives an introduction to the study of discrete groups from a geometric point of view. It contains basic facts on group ... Geometric Group Theory book. Read reviews from world's large ... Geometric Group Theory | SpringerLink ... . It contains basic facts on group ... Geometric Group Theory book. Read reviews from world's largest community for readers. Le livre Geometric Group Theory- An introduction a été écrit le 01/02/2018 par Clara Löh. Vous pouvez lire le livre Geometric Group Theory- An introduction en format PDF, ePUB, MOBI sur notre site Web djcetoulouse.fr. Vous trouverez également sur ce site les autres livres de l'auteur Clara Löh. Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and graph theory. This carefully written textbook provides a rigorous introduction to this rapidly evolving field whose methods have proven to be powerful tools in neighbouring fields such as geometric topology. Geometric group theory is the ... Introduction to Geometric Group Theory Andrzej Nagorko´ Warsaw University June 24th, 2007 An introductory talk about basic notions of Geometric Group Theory, with emphasis on asymptotic invariants of groups. A. Nag´orko (Warsaw) Introduction to Geometric Group Theory June 24th, 2007 1 / 22. Introduction The grand plan Outline I plan to talk about the following asymptotic invariants of grups ... Buy Groups, Graphs and Trees: An Introduction to the Geometry of Infinite Groups (London Mathematical Society Student Texts) from Kogan.com. Presenting groups in a formal, abstract algebraic manner is both useful and powerful, yet it avoids a fascinating geometric perspective on group theory - which is also useful and powerful, particularly in the study of infinite groups. Geometric Group Theory: An Introduction (Universitext) eBook: Clara Löh: Amazon.ca: Kindle Store Geometric Group Theory: An Introduction Universitext: Amazon.de: Löh, Clara: Fremdsprachige Bücher A course on geometric group theory 0. Introduction. In 1872, Klein proposed group theory as a means of formulating and understand-ing geometrical constructions. The resulting programme has been termed the "Erlingen programme". Since that time the two subjects have been closely linked. The subject of...