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Why are Braids Orderable? by Patrick Dehornoy, at al.
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Why are Braids Orderable?
by Patrick Dehornoy, at al.
Number of pages: 206
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.