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: Group TheoryGroup Theory
by
Contents: Basic Definitions and Results; Free Groups and Presentations; Coxeter Groups; Automorphisms and Extensions; Groups Acting on Sets; The Sylow Theorems; Subnormal Series; Solvable and Nilpotent Groups; Representations of Finite Groups.
(8867 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.
(5259 views)
Book cover: Representation Theory of Compact GroupsRepresentation Theory of Compact Groups
by - Aalto TKK
Contents: Groups (Groups without topology, Group actions and representations); Topological groups (Compact groups, Haar measure, Fourier transforms on compact groups..); Linear Lie groups (Exponential map, Lie groups and Lie algebras); Hopf algebras.
(6935 views)
Book cover: An Introduction to Group Theory: Applications to Mathematical Music TheoryAn Introduction to Group Theory: Applications to Mathematical Music Theory
by - BookBoon
In this text, a modern presentation of the fundamental notions of Group Theory is chosen, where the language of commutative diagrams and universal properties, so necessary in Modern Mathematics, in Physics and Computer Science, is introduced.
(6447 views)