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
Galois Groups and Fundamental Groupsby Leila Schneps - 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.
(12296 views)
Group Theoryby Ferdi Aryasetiawan - University of Lund
The text deals with basic Group Theory and its applications. Contents: Abstract Group Theory; Theory of Group Representations; Group Theory in Quantum Mechanics; Lie Groups; Atomic Physics; The Group SU2: Isospin; The Point Groups; The Group SU3.
(14102 views)
An Introduction to Group Theory: Applications to Mathematical Music Theoryby Flor Aceff-Sanchez, et al. - 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.
(9463 views)
Congruence Lattices of Finite Algebrasby William DeMeo - arXiv
We review a number of methods for finding a finite algebra with a given congruence lattice, including searching for intervals in subgroup lattices. We also consider methods for proving that algebras with a given congruence lattice exist...
(8174 views)