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Language EnglishEnglish
Book Paperback
Book How Groups Grow Avinoam (Hebrew University of Jerusalem) Mann
Libristo code: 04435490
Publishers Cambridge University Press, December 2011
Growth of groups is an innovative new branch of group theory. This is the first book to introduce th... Full description
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Growth of groups is an innovative new branch of group theory. This is the first book to introduce the subject from scratch. It begins with basic definitions and culminates in the seminal results of Gromov and Grigorchuk and more. The proof of Gromov's theorem on groups of polynomial growth is given in full, with the theory of asymptotic cones developed on the way. Grigorchuk's first and general groups are described, as well as the proof that they have intermediate growth, with explicit bounds, and their relationship to automorphisms of regular trees and finite automata. Also discussed are generating functions, groups of polynomial growth of low degrees, infinitely generated groups of local polynomial growth, the relation of intermediate growth to amenability and residual finiteness, and conjugacy class growth. This book is valuable reading for researchers, from graduate students onward, working in contemporary group theory.

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About the book

Full name How Groups Grow
Language English
Binding Book - Paperback
Date of issue 2011
Number of pages 210
EAN 9781107657502
ISBN 1107657504
Libristo code 04435490
Weight 312
Dimensions 149 x 223 x 11
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