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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
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Groups, Graphs and Trees - An Introduction to the Geometry of Infinite Groups (Paperback)
Loot Price: R1,204
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Groups, Graphs and Trees - An Introduction to the Geometry of Infinite Groups (Paperback)
Series: London Mathematical Society Student Texts
Expected to ship within 12 - 17 working days
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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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