Description 
1 online resource (xi, 231 pages) 
Series 
London Mathematical Society student texts ; 73 

London Mathematical Society student texts ; 73.

Contents 
Preface  Cayley's theorems  Groups generated by reflections  Groups acting on trees  BaumslagSolitar groups  Words and Dehn's word problem  A finitelygenerated, infinite, Torsion group  Regular languages and normal forms  The Lamplighter group  The geometry of infinite groups  Thompson's group  The largescale geometry of groups 
Summary 
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 BaumslagSolitar groups, the Lamplighter group and Thompson's group. Only exposure to undergraduatelevel 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 
Bibliography 
Includes bibliographical references (pages 227229) and index 
Notes 
English 

Print version record 
Subject 
Infinite groups.


MATHEMATICS  Group Theory.


Infinite groups.


Unendliche Gruppe


Geometrische Gruppentheorie

Form 
Electronic book

ISBN 
9780511424427 

0511424426 

0511423942 

9780511423949 

9780521895453 

0521895456 

9780521719773 

0521719771 

0511422792 

9780511422799 

9781139167505 

1139167502 

1107201527 

9781107201521 

1281791210 

9781281791214 

9786611791216 

6611791213 

0511423454 

9780511423451 
