9780521719773

Groups, Graphs and Trees

Format: Paperback

ISBN13: 9780521719773

Paperback|9780521719773


Overview

Presenting 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.

ISBN-13

9780521719773

ISBN-10

0521719771

Weight

0.79 Pounds

Dimensions

5.99 x 0.61 x 9.01 In

List Price

$52.99

Edition

1st Edition

Format

Paperback

Language

English

Pages

244 pages

Publisher

Cambridge University Press

Published On

2008-07-31



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