**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

**Thin Groups and Superstrong Approximation**

by

**Emmanuel Breuillard, Hee Oh (eds.)**-

**Cambridge University Press**

This book focuses on recent developments concerning various quantitative aspects of thin groups. It provides a broad panorama of a very active field of mathematics at the boundary between geometry, dynamical systems, number theory, and combinatorics.

(

**4547**views)

**Lie groups and Lie algebras**

by

**N. Reshetikhin, V. Serganova, R. Borcherds**-

**UC Berkeley**

From the table of contents: Tangent Lie algebras to Lie groups; Simply Connected Lie Groups; Hopf Algebras; PBW Theorem and Deformations; Lie algebra cohomology; Engel's Theorem and Lie's Theorem; Cartan Criterion, Whitehead and Weyl Theorems; etc.

(

**10070**views)

**An Introduction to the Theory of Groups of Finite Order**

by

**Harold Hilton**-

**Oxford Clarendon Press**

This book aims at introducing the reader to more advanced treatises and original papers on Groups of finite order. The subject requires for its study only an elementary knowledge of Algebra. I have tried to lighten for him the initial difficulties.

(

**4394**views)

**Group theory for Maths, Physics and Chemistry**

by

**Arjeh Cohen, Rosane Ushirobira, Jan Draisma**

Symmetry plays an important role in chemistry and physics. Group captures the symmetry in a very efficient manner. We focus on abstract group theory, deal with representations of groups, and deal with some applications in chemistry and physics.

(

**11928**views)