**Why are Braids Orderable?**

by Patrick Dehornoy, at al.

2010**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

**Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equations**

by

**K. Yosida**-

**Tata Institute of Fundamental Research**

In these lectures, we shall be concerned with the differentiability and the representation of one-parameter semi-groups of bounded linear operators on a Banach space and their applications to the initial value problem for differential equations.

(

**11700**views)

**Theory of Groups of Finite Order**

by

**William Burnside**-

**Cambridge University Press**

After introducing permutation notation and defining group, the author discusses the simpler properties of group that are independent of their modes of representation; composition-series of groups; isomorphism of a group with itself; etc.

(

**10118**views)

**Group Theory**

by

**J. S. Milne**

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.

(

**13441**views)

**Theory and Applications of Finite Groups**

by

**G. A. Miller, H. F. Blichfeldt, L. E. Dickson**-

**J. Wiley**

The book presents in a unified manner the more fundamental aspects of finite groups and their applications, and at the same time preserves the advantage which arises when each branch of an extensive subject is written by a specialist in that branch.

(

**7597**views)