Rational Subsets and Submonoids of Wreath Products
Group Theory
2013-02-12 v1 Formal Languages and Automata Theory
Abstract
It is shown that membership in rational subsets of wreath products H \wr V with H a finite group and V a virtually free group is decidable. On the other hand, it is shown that there exists a fixed finitely generated submonoid in the wreath product Z \wr Z with an undecidable membership problem.
Keywords
Cite
@article{arxiv.1302.2455,
title = {Rational Subsets and Submonoids of Wreath Products},
author = {Markus Lohrey and Benjamin Steinberg and Georg Zetzsche},
journal= {arXiv preprint arXiv:1302.2455},
year = {2013}
}