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Groups, graphs and trees : an introduction to the geometry of infinite groups /
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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2008.
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| Colección: | London Mathematical Society student texts ;
73. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Descripción Física: | 1 online resource (xi, 231 pages) |
| Bibliografía: | Includes bibliographical references (pages 227-229) and index. |
| ISBN: | 9780511424427 0511424426 0511423942 9780511423949 9780521895453 0521895456 9780521719773 0521719771 0511422792 9780511422799 9781139167505 1139167502 1107201527 9781107201521 1281791210 9781281791214 9786611791216 6611791213 0511423454 9780511423451 |