Geometric Group Theory - An introduction.pdf

Geometric Group Theory - An introduction PDF

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 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.

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. Geometric Group Theory: An Introduction | Clara …

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Geometric Group Theory - An introduction.pdf

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Sofya Voigtuh

A First Look at Geometric Group Theory A First Look at Geometric Group Theory Michael Francis April 24, 2017 Abstract This report, and the talk which accompanied it, were created for the Graduate Student Seminar course at Pennsylvania State University, administered by Professor Sergei Tabachnikov in Spring 2017. 1 Introduction We provide a short introduction to some basic ideas and themes of geometric group theory. Considering that

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Mattio Müllers

2012年5月14日 ... Lück の survey [ Lüc ] にあるように , 何 を geometric group theory と 呼 ぶかはは っ き ... [ Hig ] の Introduction にあげられている 文 献 をみると よい 。 He makes the important point that the introduction of algebraic notation helps us to apply the fast algebraic ... 27Let me now move to geometric group theory.

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Noels Schulzen

Geometric Group Theory: An Introduction Clara Löh (auth.) 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

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Jason Leghmann

INTRODUCTION TO GEOMETRIC GROUP THEORY Spring 2012 MATH 503 Section C1 MWF, 10am Altgeld Hall, rm 243.

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Jessica Kolhmann

Visual Group Theory, Lecture 1.1: What is a group? - …