Cayley automatic groups are not Cayley biautomatic

Alexei Miasnikov; Zoran Sunic

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arXiv · 1108.2759

Cayley automatic groups are not Cayley biautomatic

Alexei Miasnikov·Zoran Sunic

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Abstract

We show that there are Cayley automatic groups that are not Cayley biautomatic. In addition, we show that there are Cayley automatic groups with undecidable Conjugacy Problem and that the Isomorphism Problem is undecidable in the clas of Cayley automatic groups.

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Alexei Miasnikov, Zoran Sunic. 2011-08-13. Cayley automatic groups are not Cayley biautomatic. https://arxiv.org/abs/1108.2759

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