Aperiodic Pointlikes and Beyond

Details Aperiodic Pointlikes and Beyond Aperiodic Pointlikes and Beyond

2007-06-02

arxiv.org/abs/0706.0248v2

Mathematics

Group Theory

Scientific paper

We prove that if $\pi$ is a recursive set of primes, then pointlike sets are
decidable for the pseudovariety of semigroups whose subgroups are $\pi$-groups.
In particular, when $\pi$ 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.

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