Overview
- Provides an introduction to geometric group theory based on the unifying theme of Gromov’s theorem
- Shows the connections between a wide range of topics in geometric group theory
- Collects together, for the first time, results previously scattered throughout the literature
- With a Foreword by Efim I. Zelmanov
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (14 chapters)
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Front Matter
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Algebraic Theory
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Front Matter
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Analytic and Probabilistic Theory
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Front Matter
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Back Matter
Keywords
About this book
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.
The book will be of interest to mature undergraduate and graduate students in mathematics who are familiar with basic group theory and topology, and who wish to learn more about geometric, analytic, and probabilistic aspects of infinite groups.
Authors and Affiliations
About the authors
Michele D'Adderio studied undergraduate mathematics in Bologna and in Rome “La Sapienza”, before obtaining his PhD in mathematics at the University of California at San Diego in 2010. Since 2012 he has been professorat the Mathematics Department of Université Libre de Bruxelles. His main research interests are combinatorial algebra and algebraic combinatorics.
Bibliographic Information
Book Title: Topics in Groups and Geometry
Book Subtitle: Growth, Amenability, and Random Walks
Authors: Tullio Ceccherini-Silberstein, Michele D'Adderio
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-030-88109-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-88108-5Published: 23 November 2021
Softcover ISBN: 978-3-030-88111-5Published: 24 November 2022
eBook ISBN: 978-3-030-88109-2Published: 01 January 2022
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XIX, 464
Number of Illustrations: 30 b/w illustrations
Topics: Group Theory and Generalizations, Associative Rings and Algebras, Geometry, Probability Theory and Stochastic Processes, Graph Theory