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arXiv · 1804.02548

Measuring closeness between Cayley automatic groups and automatic groups

Dmitry Berdinsky·Phongpitak Trakuldit
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Abstract

In this paper we introduce a way to estimate a level of closeness of Cayley automatic groups to the class of automatic groups using a certain numerical characteristic. We characterize Cayley automatic groups which are not automatic in terms of this numerical characteristic and then study it for the lamplighter group, the Baumslag--Solitar groups and the Heisenberg group.

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Dmitry Berdinsky, Phongpitak Trakuldit. 2018-04-07. Measuring closeness between Cayley automatic groups and automatic groups. https://doi.org/10.1007/978-3-319-77313-1_19

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