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arXiv · 1302.2455

Rational Subsets and Submonoids of Wreath Products

Markus Lohrey·Benjamin Steinberg·Georg Zetzsche
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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.

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Markus Lohrey, Benjamin Steinberg, Georg Zetzsche. 2013-02-11. Rational Subsets and Submonoids of Wreath Products. https://arxiv.org/abs/1302.2455

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