Topics in Geometric Group Theory
Pierre de la Harpe
From THE SAINT BOOKSTORE, Southport, United Kingdom
AbeBooks Seller Since June 14, 2006
Quantity: > 20From THE SAINT BOOKSTORE, Southport, United Kingdom
AbeBooks Seller Since June 14, 2006
Quantity: > 20About this Item
New copy - Usually dispatched within 4 working days. 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. Seller Inventory # B9780226317212
Bibliographic Details
Title: Topics in Geometric Group Theory
Publisher: The University of Chicago Press
Publication Date: 2000
Binding: Paperback / softback
Condition: New
About this title
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.
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