Geometric Group Theory is popular PDF and ePub book, written by Clara Löh in 2017-12-19, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Geometric Group Theory can be Read Online from any device for your convenience.
Geometric Group Theory Book PDF Summary
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.
Detail Book of Geometric Group Theory PDF
- Author : Clara Löh
- Release : 19 December 2017
- Publisher : Springer
- ISBN : 9783319722542
- Genre : Mathematics
- Total Page : 390 pages
- Language : English
- PDF File Size : 16,6 Mb
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