Groups, Graphs and Trees
An Introduction to the Geometry of Infinite Groups
By (author) John Meier
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Groups, Graphs and Trees by John Meier
Book DescriptionPresenting groups in a formal, abstract algebraic manner is both useful and powerful, yet it avoids a fascinating geometric perspective on group theory - which is also useful and powerful, particularly in the study of infinite groups. This 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.
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Book DetailsISBN: 9780521895453
(228mm x 152mm x 17mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 31-Jul-2008
Country of Publication: United Kingdom
Books By Author John Meier
Groups, Graphs and Trees, Paperback (July 2008)» View all books by John Meier
This book presents an accessible and engaging approach to geometric group theory; ideal for advanced undergraduates.
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Author Biography - John Meier
John Meier is a Professor in the Department of Mathematics at Lafayette College.
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