Conjugacy in Artin groups and applications to the classification of surfaces

Details Conjugacy in Artin groups and applications to the classification of surfaces Conjugacy in Artin groups and applications to the classification of surfaces

2003-12-09

arxiv.org/abs/math/0312188v1

Mathematics

Group Theory

Scientific paper

We show thatthe double reversing algorithm proposed by dehornoy for solving the word problem in the braid group can also be used to recognize the conjugates of powers of the generators in an Artin group of spherical type. The proof uses a characterization of these powers in terms of their fractional decomposition. This algorithm could have potential applications to braid-based cryptography; it also provides a fast method for testing a necessary condition in the classification of surfaces in algebraic geometry.

Affiliated with

Also associated with

No associations

Rating

Conjugacy in Artin groups and applications to the classification of surfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Conjugacy in Artin groups and applications to the classification of surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conjugacy in Artin groups and applications to the classification of surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-41516