Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Topics in Groups and Geometry: Growth, Amenability, and Random Walks

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

Ceccherini-Silberstein, Tullio
D'Adderio, Michele
Zelmanov, Efim

Paperback

Series: Springer Monographs in Mathematics

AlgebraGeometryProbability & Statistics

ISBN10: 3030881113
ISBN13: 9783030881115
Publisher: Springer Nature
Published: Nov 24 2022
Pages: 464
Weight: 1.49
Height: 0.98 Width: 6.14 Depth: 9.21
Language: English
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 walks on groups. The results are unified under the common theme of Gromov's theorem, namely that finitely generated groups of polynomial growth are virtually nilpotent. This beautiful result gave birth to a fascinating new area of research which is still active today.

The purpose of the book is to collect these naturally related results together in one place, most of which are scattered throughout the literature, some of them appearing here in book form for the first time. In this way, the connections between these topics are revealed, providing a pleasant introduction to geometric group theory based on ideas surrounding Gromov's theorem.

Also from

Ceccherini-Silberstein, Tullio

View All

Also in

Algebra

View All