The Cayley isomorphism property for Cayley maps
Combinatorics
2016-02-09 v1 Group Theory
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~\ref{111015a} where a short list of possible candidates for CIM-groups is given. Theorem~\ref{111015c} provides concrete examples of infinite series of CIM-groups.
Cite
@article{arxiv.1602.02297,
title = {The Cayley isomorphism property for Cayley maps},
author = {Mikhail Muzychuk and Gábor Somlai},
journal= {arXiv preprint arXiv:1602.02297},
year = {2016}
}