ON THE NORMALITY OF t-CAYLEY HYPERGRAPHS OF ABELIAN GROUPS

نویسندگان

1 Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.

2 Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.

3 Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.

doi
10.22044/jas.2018.6789.1334
چکیده

A t-Cayley hypergraph X = t-Cay(G; S) is called normal for a finite group G, if the right regular representationR(G) of G is normal in the full automorphism group Aut(X) of X. In this paper, we investigate the normality of t-Cayley hypergraphs of abelian groups, where S < 4.