Topics in Geometric Group Theory
Pierre de la Harpe(Author)
University of Chicago Press
2nd Edition
Published on 15. October 2000
Book
Hardback
320 pages
978-0-226-31719-9 (ISBN)
Description
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.
More details
Series
Edition
2nd ed.
Language
English
Place of publication
Chicago
United States
Publishing group
The University of Chicago Press
Target group
College/higher education
Professional and scholarly
Illustrations
Ill.
Dimensions
Height: 235 mm
Width: 167 mm
Weight
590 gr
ISBN-13
978-0-226-31719-9 (9780226317199)
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Schweitzer Classification