Topics in geometric group theory

Pierre de la Harpe

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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この本の情報

書名 Topics in geometric group theory
著作者等 La Harpe, Pierre de
Harpe Pierre de la
シリーズ名 Chicago lectures in mathematics
出版元 University of Chicago Press
刊行年月 [2003?], c2000
ページ数 vi, 334 p.
大きさ 23 cm
ISBN 9780226317212
NCID BB04810014
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言語 英語
出版国 アメリカ合衆国
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