Topics in Geometric Group Theory by Pierre De La Harpe

Topics in Geometric Group Theory by Pierre De La Harpe

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Zusammenfassung

This work seeks to offer a concise introduction to geometric group theory - a method for studying infinite groups via their intrinsic geometry. Basic combinatorial and geometric group theory is presented, along with research on the growth of groups, and exercises and problems.

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Topics in Geometric Group Theory by Pierre De La Harpe

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.
de la Harpe, Pierre: - Pierre de la Harpe is a professor of mathematics at the Universitü¾Ž–”¼ de Genü¾Ž†”¼ve, Switzerland. He is the author, coauthor, or coeditor of several books, including La propriü¾Ž–”¼tü¾Ž–”¼ (T) de Kazhdan pour les groupes localement compacts and Sur les groupes hyperboliques d'aprü¾Ž†”¼s Mikhael Gromov.
SKU Nicht verfügbar
ISBN 13 9780226317212
ISBN 10 0226317218
Titel Topics in Geometric Group Theory
Autor Pierre De La Harpe
Buchzustand Nicht verfügbar
Bindungsart Paperback
Verlag The University of Chicago Press
Erscheinungsjahr 2000-09-15
Seitenanzahl 310
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.