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Why are Braids Orderable?
Patrick Dehornoy
出版
Société Mathématique de France
, 2002
主題
Mathematics / Combinatorics
Mathematics / Topology
ISBN
285629135X
9782856291351
URL
http://books.google.com.hk/books?id=MuDuAAAAMAAJ&hl=&source=gbs_api
註釋
In the decade since the discovery that Artin's braid groups enjoy a left-invariant linear ordering, several quite different approaches have been applied to understand this phenomenon. This book is an account of those approaches, involving self-distributive algebra, uniform finite trees, combinatorial group theory, mapping class groups, laminations, and hyperbolic geometry. This volume is suitable for graduate students and research mathematicians interested in algebra and topology.