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Sunday, October 18, 2020 | History

5 edition of Geometric Group Theory found in the catalog.

Geometric Group Theory

Ruth Charney

Geometric Group Theory

Proceedings of a Special Research Quarter at the Ohio State University, Spring 1992 (Ohio State University Mathematical Rese)

by Ruth Charney

  • 128 Want to read
  • 22 Currently reading

Published by Walter de Gruyter .
Written in English

    Subjects:
  • Groups & group theory,
  • Theory Of Groups,
  • Mathematics,
  • Science/Mathematics,
  • Group Theory,
  • Geometric group theory

  • Edition Notes

    ContributionsMichael Shapiro (Editor)
    The Physical Object
    FormatHardcover
    Number of Pages186
    ID Numbers
    Open LibraryOL9017054M
    ISBN 103110147432
    ISBN 109783110147438

    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.


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Geometric Group Theory by Ruth Charney Download PDF EPUB FB2

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 applies 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 Geometric Group Theory book in mathematics over the past two by:   Geometric group theory is the study of the interplay between groups and the spaces they act on, and has 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 a 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 of the Farrell–Jones conjectures, and the other on ends of spaces and groups.

In –,Brand: Springer International 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 my 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 field, 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 on 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 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 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.