Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

On finite Thurston-type orderings of braid groups

On finite Thurston-type orderings of braid groups Abstract We prove that for any finite Thurston-type ordering < T on the braid group B n , the restriction to the positive braid monoid ( , < T ) is a well-ordered set of order type ω ω n –2 . The proof uses a combinatorial description of the ordering < T . Our combinatorial description is based on a new normal form for positive braids which we call the ( -normal form. It can be seen as a generalization of Burckel's normal form and Dehornoy's Φ-normal form (alternating normal form). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Groups - Complexity - Cryptology de Gruyter

On finite Thurston-type orderings of braid groups

Groups - Complexity - Cryptology , Volume 2 (2) – Dec 1, 2010

Loading next page...
 
/lp/de-gruyter/on-finite-thurston-type-orderings-of-braid-groups-R88JG3dHvN

References

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
de Gruyter
Copyright
Copyright © 2010 by the
ISSN
1867-1144
eISSN
1869-6104
DOI
10.1515/gcc.2010.009
Publisher site
See Article on Publisher Site

Abstract

Abstract We prove that for any finite Thurston-type ordering < T on the braid group B n , the restriction to the positive braid monoid ( , < T ) is a well-ordered set of order type ω ω n –2 . The proof uses a combinatorial description of the ordering < T . Our combinatorial description is based on a new normal form for positive braids which we call the ( -normal form. It can be seen as a generalization of Burckel's normal form and Dehornoy's Φ-normal form (alternating normal form).

Journal

Groups - Complexity - Cryptologyde Gruyter

Published: Dec 1, 2010

There are no references for this article.