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Topics in Geometric Group Theory
University of Chicago Press, 2000 Paper: 978-0-226-31721-2 | Cloth: 978-0-226-31719-9 Library of Congress Classification QA183.L3 2000 Dewey Decimal Classification 512.2
ABOUT THIS BOOK | AUTHOR BIOGRAPHY | TOC | REQUEST ACCESSIBLE FILE
ABOUT THIS BOOK
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. See other books on: Geometry | Group Theory | Mathematics | Topics See other titles from University of Chicago Press |
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Nearby on shelf for Mathematics / Algebra:
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Topics in Geometric Group Theory
ABOUT THIS BOOK | AUTHOR BIOGRAPHY | TOC | REQUEST ACCESSIBLE FILE
University of Chicago Press, 2000
Paper: 978-0-226-31721-2
Cloth: 978-0-226-31719-9
Paper: 978-0-226-31721-2
Cloth: 978-0-226-31719-9
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.
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.
ABOUT THIS BOOK | AUTHOR BIOGRAPHY | TOC | REQUEST ACCESSIBLE FILE
