Details some of the most recent developments at the interface of topology and geometric group theory. Ideal for graduate students.
Abstract:
This volume collects eleven peer-reviewed papers on recent developments at the interface of topology and geometric group theory. The authors have given particular attention to clear exposition, making the book especially useful for graduate students and mathematicians in other areas interested in gaining a taste of this rich and active field. Read more...
Author(s): Broaddus, N.; Davis, M.; Lafont, J.-F.; Ortiz, I. J
Series: London Mathematical Society lecture note series 451
Publisher: Cambridge University Press
Year: 2018
Language: English
Pages: 193
Tags: Group theory.;Algebraic topology.;Topological manifolds.;MATHEMATICS / Algebra / Intermediate.
Content: List of contributors
1. Left relatively convex subgroups Yago Antolin, Warren Dicks and Zoran Sunic
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 -invariants of Thompson's group F via Morse Theory Stefan Witzel and Matthew C. B. Zaremsky.
