Topological Methods in Group Theory

£64.99

Part of London Mathematical Society Lecture Note Series

Editors:
N. Broaddus, Ohio State University
M. Davis, Ohio State University
J. -F. Lafont, Ohio State University
I. J. Ortiz, Miami University

Yago Antolín, Warren Dicks, Zoran Šunić, Rose Berns-Zieve, Dana Fry, Johnny Gillings, Hannah Hoganson, Heather Mathews, Robert Bieri, Ross Geoghegan, Collin Bleak, Kate Juschenko, Daniel Farley, Craig R. Guilbault, Keith Jones, Gregory A. Kelsey, Barry Minemyer, Andrew Nicas, David Rosenthal, Dongwen Qi, Stefan Witzel, Matthew C. B. Zaremsky

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Date Published: September 2018
availability: Available
format: Paperback
isbn: 9781108437622

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Description

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.
- Brings the reader right up to date with the latest developments at the interface between geometric group theory and topology
- Contains eleven fully peer-reviewed papers
- Careful exposition throughout makes this volume particularly useful for graduate students and mathematicians working in other areas
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Product details
- Date Published: September 2018
- format: Paperback
- isbn: 9781108437622
- length: 208 pages
- dimensions: 228 x 152 x 13 mm
- weight: 0.33kg
- contains: 15 b/w illus.
- availability: Available
Table of Contents
List of contributors
1. Left relatively convex subgroups Yago Antolín, Warren Dicks and Zoran Šunić
2. Groups with context-free co-word problem and embeddings into Thompson's group V Rose Berns-Zieve, Dana Fry, Johnny Gillings, Hannah Hoganson and Heather Mathews
3. Limit sets for modules over groups acting on a CAT(0) space Robert Bieri and Ross Geoghegan
4. Ideal structure of the C*-algebra of R. Thompson's group T Collin Bleak and Kate Juschenko
5. Local similarity groups with context-free co-word problem Daniel Farley
6. Compacta with shapes of finite complexes: a direct approach to the Edwards–Geoghegan–Wall obstruction Craig R. Guilbault
7. The horofunction boundary of the lamplighter group L2 with the Diestel-Leader metric Keith Jones and Gregory A. Kelsey
8. Intrinsic geometry of a Euclidean simplex Barry Minemyer
9. Hyperbolic dimension and decomposition complexity Andrew Nicas and David Rosenthal
10. Some remarks on the covering groups of a topological group Dongwen Qi
11. The Σ-invariants of Thompson's group F via Morse Theory Stefan Witzel and Matthew C. B. Zaremsky.
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Editors
N. Broaddus, Ohio State University
N. Broaddus is Associate Professor of Mathematics at Ohio State University.
M. Davis, Ohio State University
M. Davis is Professor of Mathematics at Ohio State University. He is the author of The Geometry and Topology of Coxeter Groups (2007).
J. -F. Lafont, Ohio State University
J.-F. Lafont is Professor of Mathematics at Ohio State University. He is an author of Rigidity of High Dimensional Graph Manifolds (2015). His research focuses on the geometry, topology, and dynamics of spaces of non-positive curvature.
I. J. Ortiz, Miami University
I. J. Ortiz is Professor of Mathematics at Miami University. Her research focuses on K-theory of infinite groups with torsion.
Contributors
Yago Antolín, Warren Dicks, Zoran Šunić, Rose Berns-Zieve, Dana Fry, Johnny Gillings, Hannah Hoganson, Heather Mathews, Robert Bieri, Ross Geoghegan, Collin Bleak, Kate Juschenko, Daniel Farley, Craig R. Guilbault, Keith Jones, Gregory A. Kelsey, Barry Minemyer, Andrew Nicas, David Rosenthal, Dongwen Qi, Stefan Witzel, Matthew C. B. Zaremsky