Conjugacy in Artin groups and applications to the classification of surfaces
type: Dataset
description: 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.
issued: 2026-05-07T10:13:46.443697
language: en
modified: 2026-05-07T10:13:46.443702
contact point: Organization
  fn: CCSD
keyword: 20f36-14j10
keyword: conjugacy-problem-in-artin-groups
keyword: infoeu-reposemanticspreprint
keyword: mathmath-grmathematics-mathgroup-theory-mathgr
keyword: preprints-working-papers-
keyword: surfaces-classification
landing page: https://hal.science/hal-00000931

Conjugacy in Artin groups and applications to the classification of surfaces
type: Distribution
format: HTML
issued: 2026-05-07T10:13:46.451589
modified: 2026-05-07T10:13:46.432292
access URL: https://hal.science/hal-00000931

test_moissonnage_selune
type: Agent