Last edited by Yozshunris

Thursday, April 30, 2020 | History

5 edition of **Geometric group theory** found in the catalog.

Geometric group theory

Barcelona Conference in Group Theory (2005 Catalonia, Spain)

- 150 Want to read
- 33 Currently reading

Published
**2007** by Birkhäuser in Basel, Boston .

Written in English

- Geometric group theory -- Congresses.

**Edition Notes**

Includes bibliographical references.

Statement | Goulnara N. Arzhantseva ... [et al.], editors. |

Genre | Congresses. |

Series | Trends in mathematics |

Contributions | Arzhantseva, Goulnara N. |

Classifications | |
---|---|

LC Classifications | QA183 .B37 2005 |

The Physical Object | |

Pagination | 253 p. : |

Number of Pages | 253 |

ID Numbers | |

Open Library | OL22765102M |

ISBN 10 | 3764384115, 3764384123 |

ISBN 10 | 9783764384111, 9783764384128 |

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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/5(3).

The key idea in geometric group theory is to study infinite groups by endowing them with a metric and treating them as geometric spaces.

This Geometric group theory book to many groups naturally appearing in topology, geometry, and algebra, such as fundamental groups of manifolds, groups of Brand: Cornelia Drutu. In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two by: Geometric group theory is the study of the interplay between groups and the spaces they Geometric group theory book on, and Geometric group theory book its roots in the works of Henri Poincaré, Felix Klein, J.H.C.

Whitehead, and Max Dehn. Office Hours with a Geometric Group Theorist brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics.5/5(2). 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.

Geometric group theory provides Geometric group theory book layer of abstraction that helps to understand and generalise classical geometry { in particular, in the case of negative or non-positive curvature and the corresponding geometry.

This book presents articles at the interface of two active areas of research: classical topology and the relatively new field of geometric group theory. It includes two long survey articles, one on proofs Geometric group theory book the Farrell–Jones conjectures, and the other on ends of spaces and groups.

In –,Brand: Springer Geometric group theory book Publishing. Theory,primarilyrelatedtothelargescalegeometryofinﬁnitegroupsandofthe spaces on which such groups act, and to illustrate them with fundamental theo- remssuchasGromov’sTheoremongroupsofpolynomialgrowth,Tits’Alternative.

An introduction to geometric group theory Pristina Matthieu Dussaule some of Geometric group theory book exercises are taken from this book. Another reference is the ﬁrst part of [4], also translated into The geometric approach to group theory is all about group actions on geometric spaces.

Let’s give someFile Size: KB. The book contains lecture notes from courses given at the Park City Math Institute on Geometric Group Theory. The institute consists of a set of intensive short courses offered by leaders in the Geometric group theory book, designed to introduce students to exciting, current research in mathematics.

The book contains proofs of several fundamental results of geometric group theory, such as Gromov's theorem on groups of polynomial growth, Tits's alternative, Stallings's theorem Geometric group theory book ends of groups, Dunwoody's accessibility theorem, the Mostow Rigidity Theorem, and quasiisometric rigidity theorems of Tukia and Schwartz.

Geometric Group Theory About this Title. Mladen Bestvina, University of Utah, Salt lake City, UT, Michah Sageev, Technion-Israel institute of Technology, Haifa, Israel and Karen Vogtmann, University of Warwick, Coventry, UK, Editors. Publication: IAS/Park City Mathematics Series Publication Year: ; Volume 21 ISBNs: (print); (online)Cited by: 1.

This carefully written textbook provides a rigorous introduction Geometric group theory book 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 Brand: Springer International Publishing.

This first volume contains contributions from many of the world's leading figures in this field, and their contributions demonstrate the many interesting facets of geometrical group theory.

For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to. 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.

The articles in these two volumes arose from papers given at the International Symposium on Geometric Group Theory, and they represent some of the latest thinking in this area. Many of the world's leading figures in this field attended the conference, and their contributions cover a Price: $ Filling a big gap in the literature, this book contains proofs of several fundamental results of geometric group theory, such as Gromov's theorem on groups of.

The goal of this book is to present several central topics in geometric group theory,primarilyrelatedtothelargescalegeometryofinﬁnitegroupsandspaces onwhichsuchgroupsact,andtoillustratethemwithfundamentaltheoremssuch asGromov’sTheoremongroupsofpolynomialgrowth,Tits’Alternative,Mostow Rigidity Theorem, Stallings’.

Geometric Group Theory Preliminary Version Under revision. The goal of this book is to present several central topics in geometric group theory, primarily related to the large scale geometry of infinite groups and spaces on which such groups act, and to illustrate them with fundamental theorems such as Gromov’s Theorem on groups of polynomial growth.

Geometric Group Theory Preliminary Version Under revision. The goal of this book is to present several central topics in geometric group theory, primarily related to the large scale geometry of infinite groups and spaces on which such groups act, and to illustrate them with fundamental theorems such as Gromov s Theorem on groups.

Geometric Group Theory Preliminary Version Under revision The goal of this book is to present several central topics in geometric group theory, primarily related to the large scale geometry of infinite groups and spaces on which such groups act, and to illustrate them with fundamental theorems such as Gromov’s Theorem on groups of polynomial growth.

Abstract Algebra: A First Course. By Dan Saracino I haven't seen any other book explaining the basic concepts of abstract algebra this beautifully. It is divided in two parts and the first part is only about groups though. The second part is an in. Pierre de la Harpe's "Topics in Geometric Group Theory" is, to be fair, the only book I know relatively well so I can't compare it to others.

Anyway, I do like it - the writing style is pleasant and it gets to some non-trivial results, including a fairly complete review of the Grigorchuk group.

In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two decades.

A recognized expert in the field, de la Harpe adopts a hands-on approach, illustrating key concepts with numerous concrete examples. Geometric Group Theory: Volume 1 Graham A.

Niblo, Martin A. Roller These two volumes contain survey papers given at the international symposium on geometric group theory, and they represent some of the latest thinking in this area. thereby giving representations of the group on the homology groups of the space.

If there is torsion in the homology these representations require something other than ordinary character theory to be understood. This book is written for students who are studying nite group representation theory beyond the level of a rst course in abstract Size: 1MB. The Geometric Group Theory Page provides information and resources about geometric group theory and low-dimensional topology, although the links sometimes stray into neighboring fields.

This page is meant to help students, scholars, and interested laypersons orient themselves to this large and ever-expanding body of work. The articles in these two volumes arose from papers given at the International Symposium on Geometric Group Theory, and they represent some of the latest thinking in this area.

Many of the world's leading figures in this field attended the conference, and their contributions cover a. Geometric Group Theory | Cornelia Drutu, Michael Kapovich | download | B–OK. Download books for free. Find books. Geometric group theory lives between algebra and topology- “group theory” is the study of groups, which we’ve seen a few times before, and “geometric” means that we’ll be looking at shapes.

Geometric group theory (GGT for short) uses geometric/topological methods and ideas to come to conclusions about groups associated with shapes. 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.

Topics in Geometric Group Theory book. Read reviews from world’s largest community for readers. In this book, Pierre de la Harpe provides a concise and e /5(2). This volume provides state-of-the-art accounts of exciting recent developments in the rapidly-expanding fields of geometric and cohomological group theory.

The research articles and surveys collected here demonstrate connections to such diverse areas as geometric and low-dimensional topology, analysis, homological algebra and logic. The field of geometric group theory emerged from Gromov’s insight that even mathematical objects such as groups, which are defined completely in algebraic terms, can be profitably viewed as geometric objects and studied with geometric techniques Contemporary geometric group theory has broadened its scope considerably, but retains this basic philosophy of reformulating in geometric terms.

Geometry for elementary school. This note covers the following topics: Points, Lines, Constructing equilateral triangle, Copying a line segment, Constructing a triangle, The Side-Side-Side congruence theorem, Copying a triangle, Copying an angle, Bisecting an angle, The Side-Angle-Side congruence theorem, Bisecting a segment, Some impossible constructions, Pythagorean theorem, Parallel lines.

In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two decades.

$\begingroup$ I quite like de la Harpe's book "Topics in Geometric Group Theory", but I find it frustrating to look things up in. This is because it doesn't use the page numbers, just the section numbers, so if I wanted to look up, say, SQ-universal groups then they are in III, and looking this up is much more of a hassel than just saying p Geometric group theory refers to the study of discrete groups using tools from topology, geometry, dynamics and analysis.

The field is evolving very rapidly and this volume provides an introduction to and overview of various topics which have played critical roles in this evolution. The following is a list of scholars in geometric group theory and low-dimensional topology (and a few members of neighboring fields), with links to their web pages.

Please notify me of errors or omissions. Subject Area Lists: Group Theory, Magnus, Topology Geometry-Topology, Low-dimensional Topology, Dynamical Systems, Combinatorics. Geometric group theory refers to the study of discrete groups using tools from topology, geometry, dynamics and analysis.

The field is evolving very rapidly and the present volume provides an introduction to and overview of various topics which have played critical roles in this evolution. This volume assembles research papers in geometric and pdf group theory. This wide area may be defined as the study of those groups that are defined by their action on a combinatorial or geometric object, in the spirit of Klein’s programme.Mikhail Leonidovich Gromov (also Mikhael Gromov, Michael Gromov or Mischa Gromov; Russian: Михаи́л Леони́дович Гро́мов; born download pdf December ) is a Russian-French mathematician known for his work in geometry, analysis and group is a permanent member of IHÉS in France and a Professor of Mathematics at New York al advisor: Vladimir Rokhlin.Geometric Group Theory Past course blog mainted ebook Henry Wilton.

By now there is an extensive list of survey articles and books on geometric group theory and related topics. Here is a (necessarily incomplete) selection.

This is under construction. Background.