Bücher von Patrick Dehornoy

This introductory book on braid groups and related topics keeps prerequisites to a minimum, with appendices providing a detailed guide to the more advanced notions required. A special emphasis is placed on the algorithmic aspects of braids. A range of exercises allow students to test their knowledge, with solutions available.

The book presents recently discovered connections between Artin's braid groups and left self-distributive systems, which are sets equipped with a binary operation satisfying the identity x(yz) = (xy)(xz). In particular, the first chapters include a thorough algebraic study of Artin's braid groups.

The book presents recently discovered connections between Artin's braid groups and left self-distributive systems, which are sets equipped with a binary operation satisfying the identity x(yz) = (xy)(xz). In particular, the first chapters include a thorough algebraic study of Artin's braid groups.