Articles liés à Topics in Geometic Group Theory

Topics in Geometic Group Theory - Couverture rigide

Harpe, Pierre De La

 
9780226317199: Topics in Geometic Group Theory
Couverture rigide
ISBN 10 : 0226317196 ISBN 13 : 9780226317199
Editeur : University of Chicago Press, 2000

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Biographie de l'auteur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
University of Chicago Press
Date d'édition
2000
Langue
anglais
ISBN 10 
0226317196
ISBN 13 
9780226317199
Reliure
Relié
Numéro d'édition
2
Nombre de pages
320
Coordonnées du fabricant
non disponible
Personne responsable
non disponible