Kniha Groups, Graphs and Trees John Meier

Groups, Graphs and Trees

An Introduction to the Geometry of Infinite Groups

Autor: John Meier
Jazyk: Angličtina
Väzba: Brožovaná
Dostupnosť: Skladom u dodávateľa
Odosielame za 10-18 dní
57.23
Presenting groups in a formal, abstract algebraic manner is both useful and powerful, yet it avoids...

Informácie o knihe

Autor
Jazyk
Angličtina
Väzba
Kniha - Brožovaná
Vydalo
2008
Stránok
244
EAN
9780521719773
ISBN
0521719771
Enbook ID
04094648
Hmotnosť
378
Rozmery
153 x 227 x 14

Kompletný popis

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 2008 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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