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Geometry and cohomology in group theory
Authors: --- ---
ISBN: 1139885448 110736762X 1107372186 1107362717 1107369371 129940524X 1107365163 0511666136 9781107362710 9780511666131 052163556X 9780521635561 Year: 1998 Publisher: Cambridge Cambridge University Press

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Abstract

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.


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Geometric and Cohomological Methods in Group Theory.
Authors: --- ---
ISBN: 9781139107099 9780521757249 9781139116763 1139116762 9781139127424 113912742X 9781139114592 113911459X 052175724X 1139107097 110720769X 1280776072 9786613686466 1139122509 1139112406 Year: 2009 Publisher: Cambridge Cambridge University Press

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Abstract

Geometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and striking progress has been made on classical problems at the heart of cohomological group theory. This volume provides the reader with a tour through a selection of the most important trends in the field, including limit groups, quasi-isometric rigidity, non-positive curvature in group theory, and L2-methods in geometry, topology and group theory. Major survey articles exploring recent developments in the field are supported by shorter research papers, which are written in a style that readers approaching the field for the first time will find inviting.


Book
Geometric and cohomological group theory
Authors: --- --- ---
ISBN: 110854777X 1108548873 1316771326 9781316771327 9781108548878 9781316623220 131662322X Year: 2018 Publisher: Cambridge New York

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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. Topics include various constructions of Thompson-like groups, Wise's theory of special cube complexes, groups with exotic homological properties, the Farrell-Jones assembly conjectures and new applications of Garside structures. Its mixture of surveys and research makes this book an excellent entry point for young researchers as well as a useful reference work for experts in the field. This is the proceedings of the 100th meeting of the London Mathematical Society series of Durham Symposia.

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