Topics in Geometric Group Theory
Seiten
2000
|
2nd ed.
University of Chicago Press (Verlag)
978-0-226-31719-9 (ISBN)
University of Chicago Press (Verlag)
978-0-226-31719-9 (ISBN)
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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.
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.
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.
Pierre de la Harpe is a professor of mathematics at the Universite de Geneve, Switzerland. He is the author, coauthor, or coeditor of several books, including "La propriete (T) de Kazhdan pour les groupes localement compacts" and "Sur les groupes hyperboliques d'apres Mikhael Gromov.""
| Erscheint lt. Verlag | 15.10.2000 |
|---|---|
| Reihe/Serie | Chicago Lectures in Mathematics |
| Zusatzinfo | Ill. |
| Sprache | englisch |
| Maße | 167 x 235 mm |
| Gewicht | 590 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 0-226-31719-6 / 0226317196 |
| ISBN-13 | 978-0-226-31719-9 / 9780226317199 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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