Topics in Groups and Geometry: Growth, Amenability, and Random Walks

by Tullio Ceccherini-Silberstein and Michele D'Adderio

This book provides a detailed exposition of a wide range of topics in geometric group theory, inspired by Gromov's pivotal work in the 1980s. It includes classical theorems on nilpotent groups and solvable groups, a fundamental study of the growth of groups, a detailed look at asymptotic cones, and a discussion of related subjects including filters and ultrafilters, dimension theory, hyperbolic geometry, amenability, the Burnside problem, and random...

• Format: Paperback
• Language: English
• ISBN: 3030881113
• ISBN13: 9783030881115
• Release Date: November 2022
• Publisher: Springer
• Length: 464 Pages
• Weight: 1.49 lbs.
• Dimensions: 1.0" x 6.1" x 9.2"