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Item Details
| Title:
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GROUPS, GRAPHS AND TREES
AN INTRODUCTION TO THE GEOMETRY OF INFINITE GROUPS |
| By: |
John Meier |
| Format: |
Electronic book text |
| List price:
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£162.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
1139167502 |
| ISBN 13: |
9781139167505 |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
5 June, 2012 |
| Series: |
London Mathematical Society Student Texts 73 |
| Description: |
This book presents an accessible and engaging approach to geometric group theory; ideal for advanced undergraduates. |
| Synopsis: |
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. |
| Illustrations: |
1 table 175 exercises |
| Publication: |
UK |
| Imprint: |
Cambridge University Press (Virtual Publishing) |
| Returns: |
Non-returnable |
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