Topics in Geometric Group Theory

Pierre De La Harpe

ISBN 10: 0226317218 / ISBN 13: 9780226317212

Published by The University of Chicago Press, 2000

About this Item

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. Series: Chicago Lectures in Mathematics. Num Pages: 320 pages, Ill. BIC Classification: PBG; PBM; PBP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 228 x 155 x 18. Weight in Grams: 430. . 2000. 1st Edition. Paperback. . . . . Books ship from the US and Ireland.

Seller Inventory # V9780226317212

Bibliographic Details

• Title: Topics in Geometric Group Theory
• Publisher: The University of Chicago Press
• Publication Date: 2000
• Language: English
• ISBN 10: 0226317218
• ISBN 13: 9780226317212
• Binding: Soft cover
• Condition: New

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.