ENGLISH

Groups, Graphs and Trees: An Introduction to the Geometry of Infinite Groups

By John Meier

Book information

Publisher
Cambridge University Press
Year
2008
ISBN
0521895456, 9780521895453, 9780511424427
LCC
QA178 .M45 2008
Language
english
Format
PDF
Filesize
2 MB (1748061 bytes)
Series
London Mathematical Society Student Texts
Edition
1
Pages
245\245
Orientation
yes
Scanned
no
Time added
2010-10-13 10:14:08

Description

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.

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