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E-grāmata: Geometric and Cohomological Group Theory

Edited by (Royal Holloway, University of London), Edited by (University of Southampton), Edited by (Universidad de Zaragoza), Edited by (University of Southampton)
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This volume summarizes exciting recent developments in geometric and cohomological group theory. It contains research articles and surveys that demonstrate connections with topology, analysis, algebra and logic. The book is an excellent entry point for new researchers and a useful reference work for experts.

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.

Papildus informācija

Surveys the state of the art in geometric and cohomological group theory. Ideal entry point for young researchers.
List of Participants
vi
Preface ix
Obstructions for subgroups of Thompson's group V
1(4)
Jose Burillo
Sean Cleary
Claas E. Rover
Groups of homological dimension one
5(10)
Ioannis Emmanouil
Braided diagram groups and local similarity groups
15(19)
Daniel S. Farley
Bruce Hughes
On Thompson's group T and algebraic K-theory
34(12)
Ross Geoghegan
Marco Varisco
Special cube complexes (based on lectures of Piotr Przytycki)
46(21)
Robert P. Kropholler
A hyperbolic group with a finitely presented subgroup that is not of type FP3
67(15)
Yash Lodha
The structure of Euclidean Artin groups
82(33)
Jon McCammond
Finitely presented groups associated with expanding maps
115(57)
Volodymyr Nekrasheyvych
On characteristic modules of groups
172(10)
Olympia Talelli
Controlled algebra for simplicial rings and algebraic K-theory
182
Mark Ullmann
Peter Kropholler is Professor of Pure Mathematics at the University of Southampton. Ian Leary is Professor of Pure Mathematics at the University of Southampton. Conchita Martķnez-Pérez is Professor of Pure Mathematics at the University of Zaragoza. Brita Nucinkis is Professor of Mathematics at Royal Holloway, University of London.