Harpe, PDL
Topics in Geometric Group Theory (Chicago Lectures in Mathematics)
- ISBN 13:
- 9780226317212
- author:
- Harpe, PDL
- format:
- Paperback
- publisher:
- University Of Chicago Press
- language:
- English
- Publication Year:
- 2000
- Pages:
- 310
- Genre:
- Education
- Condition:
- New
- Availability:
- Item usually sent within 10 working days
Description
Pierre de la Harpe introduces geometric group theory in this concise and engaging book, providing a unique approach to studying infinite groups via their intrinsic geometry. A hands-on approach is adopted, with numerous concrete examples illustrating key concepts.
The first five chapters cover basic combinatorial and geometric group theory, distinguishing between finitely generated and finitely presented groups. The final three chapters delve into new material on the growth of groups, including a detailed treatment of the Grigorchuk group. Exercises and problems are provided throughout to enhance the book's value for students.
Extensive references are included, directing readers to more advanced results as well as connections with other fields. This book is an ideal resource for those looking to explore geometric group theory in a practical and accessible way.