descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Conference object 01 Jul 2018Embargo end date: 01 Jan 2017 English Publisher:Elsevier BVJournal:Journal of Combinatorial Theory, Series A, volume 157, pages 162-204 (issn: 0097-3165,

Authors: Kovács, István; Feng, Yan-Quan;

doi: 10.1016/j.jcta.2018.02.003 , 10.48550/arxiv.1705.02929

arXiv: http://arxiv.org/abs/1705.02929

handle: 20.500.12556/RUP-9464

Elementary abelian groups of rank 5 are DCI-groups

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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 $S=T^��$ for some automorphism $��$ of the group $\mathbb{Z}_p^5$.

Related Organizations

Beijing Jiaotong University
China (People's Republic of)
University of Primorska
Slovenia

Keywords

rank, DCI-group, elementary abelian group, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Group Theory (math.GR), Mathematics - Group Theory, info:eu-repo/classification/udc/519.17

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