On isomorphisms of abelian Cayley objects of certain orders
In the paper the Cayley isomorphism problem is generalized to the class of Cayley objects. Let \(m= p_1\cdots p_r\) (\(\text{gcd}(m,\varphi(m))= 1\)) be a positive integer given by its prime power decomposition. Let \(n= p^{a_1}_1\cdots p^{a_r}_r\). The author provides a sufficient condition to reduce the Cayley isomorphism problem for Cayley objects of an abelian group of order \(n\) to the prime power case. Further considerations deal with the case of abelian groups. Corollaries on special cases of the Cayley isomorphism problem for Cayley graphs are obtained.
scientific article; zbMATH DE number 1924766