Cayley automatic groups are not Cayley biautomatic

Details Cayley automatic groups are not Cayley biautomatic Cayley automatic groups are not Cayley biautomatic

2011-08-13

arxiv.org/abs/1108.2759v1

Mathematics

Group Theory

Scientific paper

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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