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Geometric Group Theory: An Introduction Paperback English by Clara Loeh - 01 Feb 2018
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Geometric Group Theory: An Introduction Paperback English by Clara Loeh - 01 Feb 2018

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PublisherSpringer International Publishing AG
ISBN 103319722530
Book FormatPaperback
Book SubtitleAn Introduction
About the AuthorClara Loeh is Professor of Mathematics at the University of Regensburg, Germany. Her research focuses on the interaction between geometric topology, geometric group theory, and measurable group theory. This includes cohomological, geometric, and combinatorial methods.
Number of Pages389
ISBN 139783319722535
AuthorClara Loeh
LanguageEnglish
Book DescriptionInspired 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.
Publication Date01 Feb 2018
Cart Total  442.35
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Geometric Group Theory: An Introduction Paperback English by Clara Loeh - 01 Feb 2018
Geometric Group Theory: An Introduction Paperback English by Clara Loeh - 01 Feb 2018
442.35
453
0

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