Logo

Why are Braids Orderable? by Patrick Dehornoy, at al.

Small book cover: Why are Braids Orderable?

Why are Braids Orderable?
by


Number of pages: 206

Description:
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.

Download or read it online for free here:
Download link
(1.7MB, PDF)

Similar books

Book cover: Symmetry Groups and Their ApplicationsSymmetry Groups and Their Applications
by - Academic Press
A beginning graduate level book on applied group theory. Only those aspects of group theory are treated which are useful in the physical sciences, but the mathematical apparatus underlying the applications is presented with a high degree of rigor.
(9785 views)
Book cover: An Elementary Introduction to Group TheoryAn Elementary Introduction to Group Theory
by - AMS
The theory of groups is a branch of mathematics in which we study the concept of binaryoperations. Group theory has many applications in physics and chemistry, and is potentially applicable in any situation characterized by symmetry.
(422 views)
Book cover: Groups and Semigroups: Connections and ContrastsGroups and Semigroups: Connections and Contrasts
by - University of Nebraska-Lincoln
In the present paper, I will discuss some of these connections between group theory and semigroup theory, and I will also discuss some rather surprising contrasts between the theories. I will focus primarily on the theory of inverse semigroups.
(5067 views)
Book cover: Galois Groups and Fundamental GroupsGalois Groups and Fundamental Groups
by - Cambridge University Press
This book contains eight articles which focus on presenting recently developed new aspects of the theory of Galois groups and fundamental groups, avoiding classical aspects which have already been developed at length in the standard literature.
(8970 views)