Groups, graphs and trees: An introduction to the geometry...

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Mathematics - Symmetry and group
Groups, graphs and trees: An...

Groups, graphs and trees: An introduction to the geometry of infinite groups

Name: Groups, graphs and trees: An introduction to the geometry of infinite groups
ISBN: 9780521895453

John Meier

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This outstanding new book presents the modern, geometric approach to group theory, in an accessible and engaging approach to the subject. Topics include group actions, the construction of Cayley graphs, and connections to formal language theory and geometry. Theorems are balanced by specific examples such as Baumslag-Solitar groups, the Lamplighter group and Thompson's group. Only exposure to undergraduate-level abstract algebra is presumed, and from that base the core techniques and theorems are developed and recent research is explored. Exercises and figures throughout the text encourage the development of geometric intuition. Ideal for advanced undergraduates looking to deepen their understanding of groups, this book will also be of interest to graduate students and researchers as a gentle introduction to geometric group theory.

Kategorije:

Mathematics - Symmetry and group

Godina:

2008

Izdanje:

Izdavač:

Cambridge University Press

Jezik:

english

Strane:

245

ISBN 10: