CONJUGACY IN ARTIN GROUPS AND APPLICATION TO THE CLASSIFICATION OF SURFACES

Eddy Godelle, Shmuel Kaplan, Mina Teicher

Research output: Contribution to journalArticlepeer-review

Abstract

We show that the double reversing algorithm proposed by Dehornoy in [3] 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. Read More: http://www.worldscientific.com/doi/abs/10.1142/S0219498806001880
Original languageAmerican English
Pages (from-to)563-570
JournalJournal of Algebra and its Applications
Volume5
Issue number5
StatePublished - 2005

Fingerprint

Dive into the research topics of 'CONJUGACY IN ARTIN GROUPS AND APPLICATION TO THE CLASSIFICATION OF SURFACES'. Together they form a unique fingerprint.

Cite this