Description: Groups, Graphs and Trees : An Introduction to the Geometry of Infinite Groups, Hardcover by Meier, John, ISBN 0521895456, ISBN-13 9780521895453, Like New Used, Free P&P in the UK Meier has the rare ability to make complex concepts assessable to novices while simultaneously challenging the experienced. He takes a modern, geometric approach to group theory, which is particularly useful in the study of infinite groups, focusing on Cayley's theorems first, including his basic theorem, the symmetry groups of graphs, or bits and stabilizers, generating sets and Cayley graphs, fundamental domains and generating sets, and words and paths. After a brief sojourn into groups generated by reflections, he works through groups acting on trees, including free products of groups, Baumslag-Solitar groups, words and Dehn's word problems, a finitely generated infinite torsion group, ray kidder languages and normal forms, the "Lamplighter" group, the geometry of infinite groups, Thompson's group, and the large scale geometry of groups. With well-chosen illustrations and examples, Meier succeeds brilliantly in this unique approach. Annotation ©2008 Book News, Inc., Portland, OR ()
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Book Title: Groups, Graphs and Trees : An Introduction to the Geometry of Inf
Number of Pages: 244 Pages
Publication Name: Groups, Graphs and Trees: an Introduction to the Geometry of Infinite Groups
Language: English
Publisher: Cambridge University Press
Item Height: 234 mm
Subject: Mathematics
Publication Year: 2008
Type: Textbook
Item Weight: 480 g
Author: John Meier
Item Width: 155 mm
Series: London Mathematical Society Student Texts
Format: Hardcover