Elementary abelian groups of rank 5 are DCI-groups

Yan-Quan Feng; István Kovács

Elementary abelian groups of rank 5 are DCI-groups

Combinatorics 2017-05-09 v1 Group Theory

Authors: Yan-Quan Feng , István Kovács

Abstract

In this paper, we show that the group $\mathbb{Z}_p^5$ is a DCI-group for any odd prime $p,$ that is, two Cayley digraphs Cay $(\mathbb{Z}_p^5,S)$ and Cay $(\mathbb{Z}_p^5,T)$ are isomorphic if and only if $S=T^\varphi$ for some automorphism $\varphi$ of the group $\mathbb{Z}_p^5$ .

Keywords

elementary abelian group DCI-group Cayley digraph graph isomorphism automorphism rank 5 odd prime

Cite

@article{arxiv.1705.02929,
  title  = {Elementary abelian groups of rank 5 are DCI-groups},
  author = {Yan-Quan Feng and István Kovács},
  journal= {arXiv preprint arXiv:1705.02929},
  year   = {2017}
}

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