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arXiv · 1606.04293

Computability of F{\o}lner sets

Matteo Cavaleri
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Abstract

We define the notion of computability of F{\o}lner sets for finitely generated amenable groups. We prove, by an explicit description, that the Kharlampovich group, a finitely presented solvable group with unsolvable word problem, has computable F{\o}lner sets. We also prove computability of F{\o}lner sets for a group that is extension of an amenable group with solvable word problem by a finitely generated group with computable F{\o}lner sets with subrecursive distortion function. Moreover we obtain some known and some new upper bounds for the F{\o}lner function in these particular extensions.

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BibTeXRIS

Matteo Cavaleri. 2016-06-14. Computability of F{\o}lner sets. https://doi.org/10.1142/s0218196717500382

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