http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
1 online resource (xix, 623 pages) : illustrations
"The aim of this book is to present recently discovered connections between Artin's braid groups and left self-distributive systems, which are sets equipped with a binary operation satisfying the x(yz) = (xy)(xz). Order properties are crucial." "The text proposes a first synthesis of this area of research. Three domains are considered here, namely braids, self-distributive systems, and set theory. Although not a comprehensive course on these subjects, the exposition is self-contained, and a number of basic results are established. In particular, the first chapters include a rather complete algebraic study of Artin's braid groups."--BOOK JACKET.
Pt. A. Ordering the Braids. I. Braids vs. Self-Distributive Systems. II. Word Reversing. III. The Braid Order. IV. The Order on Positive Braids -- Pt. B. Free LD-systems. V. Orders on Free LD-systems. VI. Normal Forms. VII. The Geometry Monoid. VIII. The Group of Left Self-Distributivity. IX. Progressive Expansions -- Pt. C. Other LD-Systems. X. More LD-Systems. XI. LD-Monoids. XII. Elementary Embeddings. XIII. More about the Laver Tables.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL
Includes bibliographical references and index.
Progress in mathematics (Boston, Mass.) ; v. 192