Geodesic
The Cayley isomorphism property for the group C_2^5 × C_p
Ars Mathematica Contemporanea, Tome 19 (2020) no. 2, pp. 277-295.

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A finite group G is called a DCI-group if two Cayley digraphs over G are isomorphic if and only if their connection sets are conjugate by a group automorphism. We prove that the group C25 × Cp, where p is a prime, is a DCI-group if and only if p ≠ 2. Together with the previously obtained results, this implies that a group G of order 32p, where p is a prime, is a DCI-group if and only if p ≠ 2 and G ≅ C25 × Cp.
DOI : 10.26493/1855-3974.2348.f42
Keywords: Isomorphisms, DCI-groups, Schur rings 
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Grigory Ryabov. The Cayley isomorphism property for the group C_2^5 × C_p. Ars Mathematica Contemporanea, Tome 19 (2020) no. 2, pp. 277-295. doi : 10.26493/1855-3974.2348.f42. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2348.f42/

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