The Cayley isomorphism property for Cayley maps
Abstract
In this paper we study finite groups which have Cayley isomorphism property with respect to Cayley maps, CIM-groups for a brief. We show that the structure of the CIM-groups is very restricted. It is described in Theorem~111015a where a short list of possible candidates for CIM-groups is given. Theorem~111015c provides concrete examples of infinite series of CIM-groups.
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