Elementary abelian groups of rank 5 are DCI-groups
Copyright policy )Elementary abelian groups of rank 5 are DCI-groups
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 $\mathbb{Z}_p^5$.
- Beijing Jiaotong University China (People's Republic of)
- University of Primorska Slovenia
Permutation groups, elementary abelian group, 2-closed permutation group, Group Theory (math.GR), Cayley graph, info:eu-repo/classification/udc/519.17, Graphs and abstract algebra (groups, rings, fields, etc.), CI-group, rank, DCI-group, Schur ring, isomorphism, Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Mathematics - Group Theory
Permutation groups, elementary abelian group, 2-closed permutation group, Group Theory (math.GR), Cayley graph, info:eu-repo/classification/udc/519.17, Graphs and abstract algebra (groups, rings, fields, etc.), CI-group, rank, DCI-group, Schur ring, isomorphism, Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Mathematics - Group Theory
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