Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896285 | Journal of Algebra | 2018 | 26 Pages |
Abstract
Defined on Birman-Ko-Lee monoids, the rotating normal form has strong connections with the Dehornoy's braid ordering. It can be seen as a process for selecting between all the representative words of a Birman-Ko-Lee braid a particular one, called rotating word. In this paper we construct, for all n⩾2, a finite-state automaton which recognizes rotating words on n strands, proving that the rotating normal form is regular. As a consequence we obtain the regularity of a Ï-definite normal form defined on the whole braid group.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jean Fromentin,