Topological Methods in Group Theory

ISBN-13: 9781108437622 / Angielski / Miękka / 2018 / 208 str.

N. Broaddus; M. Davis; J. -F LaFont

Opis

Details some of the most recent developments at the interface of topology and geometric group theory. Ideal for graduate students.

Spis treści

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.