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Viser: Geometric Group Theory - An Introduction
Geometric Group Theory Vital Source e-bog
Clara Löh
(2017)
Geometric Group Theory Vital Source e-bog
Clara Löh
(2017)
Geometric Group Theory Vital Source e-bog
Clara Löh
(2017)
Geometric Group Theory
An Introduction
Clara Löh
(2018)
Sprog: Engelsk
Detaljer om varen
- Vital Source searchable e-book (Fixed pages)
- Udgiver: Springer Nature (December 2017)
- ISBN: 9783319722542
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Detaljer om varen
- Vital Source 90 day rentals (fixed pages)
- Udgiver: Springer Nature (December 2017)
- ISBN: 9783319722542R90
Bookshelf online: 90 dage fra købsdato.
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Detaljer om varen
- Vital Source 180 day rentals (fixed pages)
- Udgiver: Springer Nature (December 2017)
- ISBN: 9783319722542R180
Bookshelf online: 180 dage fra købsdato.
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Detaljer om varen
- Paperback
- Udgiver: Springer International Publishing AG (Januar 2018)
- ISBN: 9783319722535
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.
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.