Aperiodic Pointlikes and Beyond
Group Theory
2007-06-17 v2
Abstract
We prove that if is a recursive set of primes, then pointlike sets are decidable for the pseudovariety of semigroups whose subgroups are -groups. In particular, when is the empty set, we obtain Henckell's decidability of aperiodic pointlikes. Our proof, restricted to the case of aperiodic semigroups, is simpler than the original proof.
Cite
@article{arxiv.0706.0248,
title = {Aperiodic Pointlikes and Beyond},
author = {Karsten Henckell and John Rhodes and Benjamin Steinberg},
journal= {arXiv preprint arXiv:0706.0248},
year = {2007}
}