We show that there are Cayley graph automatic groups that are not Cayley graph biautomatic. In addition, we show that there are Cayley graph automatic groups with undecidable Conjugacy Problem and that the Isomorphism Problem is undecidable in the class of Cayley graph automatic groups. © 2012 Springer-Verlag.
CITATION STYLE
Miasnikov, A., & Šunić, Z. (2012). Cayley graph automatic groups are not necessarily Cayley graph biautomatic. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7183 LNCS, pp. 401–407). https://doi.org/10.1007/978-3-642-28332-1_34
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