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Topics in Groups and Geometry

Growth, Amenability, and Random Walks

Produktform: E-Buch Text Elektronisches Buch in proprietärem

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. weiterlesen

Dieser Artikel gehört zu den folgenden Serien

Elektronisches Format: PDF

Sprache(n): Englisch

ISBN: 978-3-030-88109-2 / 978-3030881092 / 9783030881092

Verlag: Springer International Publishing

Erscheinungsdatum: 01.01.2022

Seiten: 464

Autor(en): Tullio Ceccherini-Silberstein, Michele D'Adderio
Vorwort von Efim Zelmanov

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