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Geometric Group Theory : An Introduction - Clara Löh
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Clara Löh:

Geometric Group Theory : An Introduction - Paperback

2018, ISBN: 3319722530

[EAN: 9783319722535], Neubuch, [SC: 0.0], [PU: Springer International Publishing], ALGEBRA; DIFFERENZIALGEOMETRIE; GEOMETRIE / GEOMETRIE; RAUMLEHRE; GRAPH - GRAPHENTHEORIE; ALGEBRA GRUPPE… More...

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Geometric Group Theory: An Introduction (Universitext) - Löh, Clara
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Löh, Clara:

Geometric Group Theory: An Introduction (Universitext) - First edition

2018, ISBN: 9783319722535

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Springer, Taschenbuch, Auflage: 1st ed. 2017, 404 Seiten, Publiziert: 2018-01-19T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 49740283, 2.31 kg, Verkaufsrang: 1240157, Algebra & Zahlen… More...

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Geometric Group Theory: An Introduction (Universitext) - Löh, Clara
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Löh, Clara:
Geometric Group Theory: An Introduction (Universitext) - First edition

2018

ISBN: 9783319722535

Paperback

Springer, Taschenbuch, Auflage: 1st ed. 2017, 404 Seiten, Publiziert: 2018-01-19T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 49740283, 2.31 kg, Verkaufsrang: 846299, Algebra & Zahlent… More...

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Geometric Group Theory: An Introduction (Universitext) - Löh, Clara
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Löh, Clara:
Geometric Group Theory: An Introduction (Universitext) - First edition

2018, ISBN: 9783319722535

Paperback

Springer, Taschenbuch, Auflage: 1st ed. 2017, 404 Seiten, Publiziert: 2018-01-19T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 49740283, 2.31 kg, Verkaufsrang: 1240157, Algebra & Zahlen… More...

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Geometric Group Theory: An Introduction (Universitext) - Löh, Clara
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Löh, Clara:
Geometric Group Theory: An Introduction (Universitext) - First edition

2018, ISBN: 9783319722535

Paperback

Springer, Taschenbuch, Auflage: 1st ed. 2017, 404 Seiten, Publiziert: 2018-01-19T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 49740283, 2.31 kg, Verkaufsrang: 846299, Algebra & Zahlent… More...

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Geometric Group Theory: An Introduction (Universitext)
Author:
Title:
ISBN:

3319722530


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.

Details of the book - Geometric Group Theory: An Introduction (Universitext)


EAN (ISBN-13): 9783319722535
ISBN (ISBN-10): 3319722530
Hardcover
Paperback
Publishing year: 2017
Publisher: Springer

Book in our database since 2017-12-03T13:18:19+00:00 (London)
Detail page last modified on 2024-03-03T12:37:18+00:00 (London)
ISBN/EAN: 3319722530

ISBN - alternate spelling:
3-319-72253-0, 978-3-319-72253-5
Alternate spelling and related search-keywords:
Book author: loh, geometry, clara, löh
Book title: geometric group theory, topologie, introduction geometric, the group

Information from Publisher

Author: Clara Löh
Title: Universitext; Geometric Group Theory - An Introduction
Publisher: Springer; Springer International Publishing
389 Pages
Publishing year: 2018-01-19
Cham; CH
Printed / Made in
Language: English
85,59 € (DE)
87,99 € (AT)
94,50 CHF (CH)
POD
XI, 389 p. 119 illus., 100 illus. in color.

BC; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Gruppen und Gruppentheorie; Verstehen; MSC 2010 20F65 20F67 20F69 20F05 20F10 20E08 20E05 20E06; geometric group theory; group actions and geometry; quasi-isometry of groups; Cayley graphs of groups; rigidity in group theory; curvature and fundamental groups; hyperbolic groups; negatively curved groups; amenable groups; growth of groups; Gromov boundary; Group Theory and Generalizations; Differential Geometry; Hyperbolic Geometry; Manifolds and Cell Complexes; Graph Theory; Differentielle und Riemannsche Geometrie; Nichteuklidische Geometrie; Topologie; Kombinatorik und Graphentheorie; EA

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.
Features more than 250 exercises of varying difficulty including programming tasks Introduces the key notions from quasi-geometry, such as growth, hyperbolicity, boundary constructions and amenability Assumes only a basic background in group theory, metric spaces and point-set topology

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