Groups, Graphs and Trees: An Introduction to the Geometry of Infinite Groups (Hardcover) (ISBN-13: 9780521895453)

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.

Author: John Meier
ISBN-10: 0521895456
ISBN-13: 9780521895453
Publisher: Cambridge University Press
Language: English
Published: 07/31/2008
Pages: 244
Format: Hardcover
Weight: 1.05lbs
Size: 9.00h x 6.10w x 0.70d

Review Citation(s):
Scitech Book News 12/01/2008 pg. 34
Choice 07/01/2009