Topics in Geometric Group Theory (Chicago Lectures in Mathematics)

de la Harpe, Pierre

ISBN 10: 0226317196 / ISBN 13: 9780226317199

Published by University of Chicago Press, 2000

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Bibliographic Details

• Title: Topics in Geometric Group Theory (Chicago Lectures in Mathematics)
• Publisher: University of Chicago Press
• Publication Date: 2000
• Language: English
• ISBN 10: 0226317196
• ISBN 13: 9780226317199
• Binding: hardcover
• Condition: New
• Book Type: book

About this title

Synopsis

In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two decades. A recognized expert in the field, de la Harpe adopts a hands-on approach, illustrating key concepts with numerous concrete examples.

The first five chapters present basic combinatorial and geometric group theory in a unique and refreshing way, with an emphasis on finitely generated versus finitely presented groups. In the final three chapters, de la Harpe discusses new material on the growth of groups, including a detailed treatment of the "Grigorchuk group." Most sections are followed by exercises and a list of problems and complements, enhancing the book's value for students; problems range from slightly more difficult exercises to open research problems in the field. An extensive list of references directs readers to more advanced results as well as connections with other fields.

About the Author

Pierre de la Harpe is a professor of mathematics at the Université de Genève, Switzerland. He is the author, coauthor, or coeditor of several books, including La propriété (T) de Kazhdan pour les groupes localement compacts and Sur les groupes hyperboliques d’après Mikhael Gromov.