Ordering Braids PDF
By:Patrick Dehornoy,Ivan Dynnikov,Dale Rolfsen,Bert Wiest
Published on 2008 by American Mathematical Soc.
In the fifteen years since the discovery that Artin's braid groups enjoy a left-invariant linear ordering, several quite different approaches have been used to understand this phenomenon. This book is an account of those approaches, which involve such varied objects and domains as combinatorial group theory, self-distributive algebra, finite combinatorics, automata, low-dimensional topology, mapping class groups, and hyperbolic geometry. The remarkable point is that all these approaches lead to the same ordering, making the latter rather canonical. We have attempted to make the ideas in this volume accessible and interesting to students and seasoned professionals alike. Although the text touches upon many different areas, we only assume that the reader has some basic background in group theory and topology, and we include detailed introductions wherever they may be needed, so as to make the book as self-contained as possible. The present volume follows the book, Why are braids orderable?, written by the same authors and published in 2002 by the Societe Mathematique de France. The current text contains a considerable amount of new material, including ideas that were unknown in 2002. In addition, much of the original text has been completely rewritten, with a view to making it more readable and up-to-date.
This Book was ranked at 11 by Google Books for keyword Logique.
Book ID of Ordering Braids's Books is YHn0BwAAQBAJ, Book which was written byPatrick Dehornoy,Ivan Dynnikov,Dale Rolfsen,Bert Wiesthave ETAG "aZRxddcPCWY"
Book which was published by American Mathematical Soc. since 2008 have ISBNs, ISBN 13 Code is 9780821844311 and ISBN 10 Code is 0821844318
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Book which have "323 Pages" is Printed at BOOK under CategoryMathematics
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