Wir verwenden Cookies, um Ihnen die bestmögliche Nutzererfahrung auf unserer Website zu bieten und erlauben das Setzen von Drittanbieter-Cookies. Durch die Nutzung unserer Website stimmen Sie zu, dass Cookies auf Ihrem Gerät gespeichert werden. Weitere Informationen zu den verwendeten Cookies, und zu ihrer Deaktivierung finden Sie hier.
leerquadrat
Merkzettel
Merkzettel
Warenkorb
 (0)
Warenkorb
Literatur   |   Sachbuch   |   Fachbuch   |   eBook   |   Papier   |   TU-Fanartikel   |   Geekstuff
Suche
zur Trefferliste

Geometric Group Theory An Introduction
An Introduction

von Löh, Clara
Taschenbuch
XI, 389 Seiten; 23.5 cm x 15.5 cm
2018 Springer International Publishing
ISBN 978-3-319-72253-5
lieferbar
lagernd: Filiale Wiedner Hauptstr. 6


Preis: 38.49 EUR (inkl.USt.) 
in den Warenkorb  |  auf den Merkzettel



Hauptbeschreibung

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.




Inhaltsverzeichnis
1 Introduction.- Part I Groups.- 2 Generating groups.- Part II Groups > Geometry.- 3 Cayley graphs.- 4 Group actions.- 5 Quasi-isometry.- Part III Geometry of groups.- 6 Growth types of groups.- 7 Hyperbolic groups.- 8 Ends and boundaries.- 9 Amenable groups.- Part IV Reference material.- A Appendix.- Bibliography.- Indices.

Biografische Anmerkung zu den Verfassern

Clara Löh 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. 

science4kids
INTU Veranstaltungen
INTU Paper
INTU.newsletter Hier geht es zur Anmeldung.
Aktuelles, Veranstaltungen und Angebote
Facebook
Pintarest
Instagram
INTU.books
INTU.books und shop
INTU.paper