English

A Profinite Approach to Stable Pairs

Group Theory 2007-05-23 v1

Abstract

We give a short proof, using profinite techniques, that idempotent pointlikes, stable pairs and triples are decidable for the pseudovariety of aperiodic monoids. Stable pairs are also described for the pseudovariety of all finite monoids.

Keywords

Cite

@article{arxiv.math/0612497,
  title  = {A Profinite Approach to Stable Pairs},
  author = {Karsten Henckell and John Rhodes and Benjamin Steinberg},
  journal= {arXiv preprint arXiv:math/0612497},
  year   = {2007}
}