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The Cayley isomorphism property for the group $C_4\times C_p^2$

Combinatorics 2021-05-26 v1 Group Theory

Abstract

A finite group GG is called a DCI-group if two Cayley digraphs over GG are isomorphic if and only if their connection sets are conjugate by a group automorphism. We prove that the group C4×Cp2C_4\times C_p^2, where pp is a prime, is a DCI-group if and only if p2p\neq 2.

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Cite

@article{arxiv.2003.08118,
  title  = {The Cayley isomorphism property for the group $C_4\times C_p^2$},
  author = {Grigory Ryabov},
  journal= {arXiv preprint arXiv:2003.08118},
  year   = {2021}
}

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18 pages