Geometric And Cohomological Methods In Group Theory PDF Download
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Author | : Martin R. Bridson |
Publisher | : Cambridge University Press |
Total Pages | : 331 |
Release | : 2009-10-29 |
Genre | : Mathematics |
ISBN | : 052175724X |
Download Geometric and Cohomological Methods in Group Theory Book in PDF, ePub and Kindle
An extended tour through a selection of the most important trends in modern geometric group theory.
Author | : Martin R. Bridson |
Publisher | : |
Total Pages | : 331 |
Release | : 2014-05-14 |
Genre | : Geometric group theory |
ISBN | : 9781139127424 |
Download Geometric and Cohomological Methods in Group Theory Book in PDF, ePub and Kindle
An extended tour through a selection of the most important trends in modern geometric group theory.
Author | : Peter H. Kropholler |
Publisher | : Cambridge University Press |
Total Pages | : 277 |
Release | : 2018 |
Genre | : Mathematics |
ISBN | : 131662322X |
Download Geometric and Cohomological Group Theory Book in PDF, ePub and Kindle
Surveys the state of the art in geometric and cohomological group theory. Ideal entry point for young researchers.
Author | : Ross Geoghegan |
Publisher | : Springer Science & Business Media |
Total Pages | : 473 |
Release | : 2007-12-27 |
Genre | : Mathematics |
ISBN | : 0387746145 |
Download Topological Methods in Group Theory Book in PDF, ePub and Kindle
This book is about the interplay between algebraic topology and the theory of infinite discrete groups. It is a hugely important contribution to the field of topological and geometric group theory, and is bound to become a standard reference in the field. To keep the length reasonable and the focus clear, the author assumes the reader knows or can easily learn the necessary algebra, but wants to see the topology done in detail. The central subject of the book is the theory of ends. Here the author adopts a new algebraic approach which is geometric in spirit.
Author | : Clara Löh |
Publisher | : Springer |
Total Pages | : 389 |
Release | : 2017-12-19 |
Genre | : Mathematics |
ISBN | : 3319722549 |
Download Geometric Group Theory Book in PDF, ePub and Kindle
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.
Author | : Peter H. Kropholler |
Publisher | : Cambridge University Press |
Total Pages | : 332 |
Release | : 1998-05-14 |
Genre | : Mathematics |
ISBN | : 052163556X |
Download Geometry and Cohomology in Group Theory Book in PDF, ePub and Kindle
This volume reflects the fruitful connections between group theory and topology. It contains articles on cohomology, representation theory, geometric and combinatorial group theory. Some of the world's best known figures in this very active area of mathematics have made contributions, including substantial articles from Ol'shanskii, Mikhajlovskii, Carlson, Benson, Linnell, Wilson and Grigorchuk, which will be valuable reference works for some years to come. Pure mathematicians working in the fields of algebra, topology, and their interactions, will find this book of great interest.
Author | : N. Broaddus |
Publisher | : Cambridge University Press |
Total Pages | : 211 |
Release | : 2018-09-06 |
Genre | : Mathematics |
ISBN | : 1108530508 |
Download Topological Methods in Group Theory Book in PDF, ePub and Kindle
This volume collects the proceedings of the conference 'Topological methods in group theory', held at Ohio State University in 2014 in honor of Ross Geoghegan's 70th birthday. It consists of eleven peer-reviewed papers on some of the most recent developments at the interface of topology and geometric group theory. The authors have given particular attention to clear exposition, making this volume especially useful for graduate students and for mathematicians in other areas interested in gaining a taste of this rich and active field. A wide cross-section of topics in geometric group theory and topology are represented, including left-orderable groups, groups defined by automata, connectivity properties and Σ-invariants of groups, amenability and non-amenability problems, and boundaries of certain groups. Also included are topics that are more geometric or topological in nature, such as the geometry of simplices, decomposition complexity of certain groups, and problems in shape theory.
Author | : C. Allday |
Publisher | : Cambridge University Press |
Total Pages | : 486 |
Release | : 1993-07 |
Genre | : Mathematics |
ISBN | : 0521350220 |
Download Cohomological Methods in Transformation Groups Book in PDF, ePub and Kindle
This is an account of the theory of certain types of compact transformation groups, namely those that are susceptible to study using ordinary cohomology theory and rational homotopy theory, which in practice means the torus groups and elementary abelian p-groups. The efforts of many mathematicians have combined to bring a depth of understanding to this area. However to make it reasonably accessible to a wide audience, the authors have streamlined the presentation, referring the reader to the literature for purely technical results and working in a simplified setting where possible. In this way the reader with a relatively modest background in algebraic topology and homology theory can penetrate rather deeply into the subject, whilst the book at the same time makes a useful reference for the more specialised reader.
Author | : Cornelia Druţu |
Publisher | : American Mathematical Soc. |
Total Pages | : 819 |
Release | : 2018-03-28 |
Genre | : Geometric group theory |
ISBN | : 1470411040 |
Download Geometric Group Theory Book in PDF, ePub and Kindle
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 matrices with integer coefficients, etc. The primary focus of this book is to cover the foundations of geometric group theory, including coarse topology, ultralimits and asymptotic cones, hyperbolic groups, isoperimetric inequalities, growth of groups, amenability, Kazhdan's Property (T) and the Haagerup property, as well as their characterizations in terms of group actions on median spaces and spaces with walls. 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. This is the first book in which geometric group theory is presented in a form accessible to advanced graduate students and young research mathematicians. It fills a big gap in the literature and will be used by researchers in geometric group theory and its applications.
Author | : Ararat Babakhanian |
Publisher | : |
Total Pages | : 264 |
Release | : 1972 |
Genre | : Mathematics |
ISBN | : |
Download Cohomological Methods in Group Theory Book in PDF, ePub and Kindle
This book is intended for students interested in learning the use of cohomology and homology theory in solving problems in group theory. Although cohomology groups of a groups were formally defined in the early 1940s, these groups in low dimensions had been studied earlier as part of the general body of theory of groups. In the last three decades cohomology of groups has played a central role in various branches of mathematics. This book provides readers with the basic tools in cohomology of groups and to illustrate their use in obtaining group theoretic results.