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math.GR2011
Cayley automatic groups are not Cayley biautomatic
Alexei Miasnikov, Zoran Sunic
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 t…
math.GR2011
From automatic structures to automatic groups
Olga Kharlampovich, Bakhadyr Khoussainov, Alexei Miasnikov
In this paper we introduce the concept of a Cayley graph automatic group (CGA group or graph automatic group, for short) which generalizes the standard notion of an automatic group…