Geometric And Cohomological Group Theory
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Geometric and Cohomological Group Theory
Author | : Peter H. Kropholler,Ian J. Leary,Conchita Martínez-Pérez,Brita E. A. Nucinkis |
Publsiher | : Cambridge University Press |
Total Pages | : 277 |
Release | : 2018 |
Genre | : Mathematics |
ISBN | : 9781316623220 |
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Surveys the state of the art in geometric and cohomological group theory. Ideal entry point for young researchers.
Geometry and Cohomology in Group Theory
Author | : Peter H. Kropholler,Graham A. Niblo,Ralph Stöhr |
Publsiher | : Cambridge University Press |
Total Pages | : 332 |
Release | : 1998-05-14 |
Genre | : Mathematics |
ISBN | : 9780521635561 |
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.
Geometric and Cohomological Methods in Group Theory
Author | : Martin R. Bridson |
Publsiher | : Cambridge University Press |
Total Pages | : 331 |
Release | : 2009-10-29 |
Genre | : Mathematics |
ISBN | : 9780521757249 |
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An extended tour through a selection of the most important trends in modern geometric group theory.
Combinatorial Group Theory and Applications to Geometry
Author | : D.J. Collins |
Publsiher | : Springer Science & Business Media |
Total Pages | : 252 |
Release | : 1998-03-17 |
Genre | : Mathematics |
ISBN | : 3540637044 |
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From the reviews: "... The book under review consists of two monographs on geometric aspects of group theory ... Together, these two articles form a wide-ranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ..." Bulletin of the London Mathematical Society, 1996
Geometric Group Theory
Author | : Clara Löh |
Publsiher | : Springer |
Total Pages | : 389 |
Release | : 2017-12-19 |
Genre | : Mathematics |
ISBN | : 9783319722542 |
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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.
Geometric Group Theory Volume 1
Author | : Graham A. Niblo,Martin A. Roller |
Publsiher | : Cambridge University Press |
Total Pages | : 226 |
Release | : 1993-07-30 |
Genre | : Mathematics |
ISBN | : 9780521435291 |
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For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library.
Geometric and Cohomological Methods in Group Theory
![Geometric and Cohomological Methods in Group Theory](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Martin R. Bridson,Peter H. Kropholler,Ian J. Leary |
Publsiher | : Unknown |
Total Pages | : 331 |
Release | : 2014-05-14 |
Genre | : Geometric group theory |
ISBN | : 113912742X |
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.
Combinatorial and Geometric Group Theory Edinburgh 1993
Author | : Andrew J. Duncan,N. D. Gilbert,James Howie |
Publsiher | : Cambridge University Press |
Total Pages | : 340 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : 0521465958 |
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Authoritative collection of surveys and papers that will be indispensable to all research workers in the area.