Document Type: Original Manuscript


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.


A t-Cayley hypergraph X = t-Cay(G; S) is called normal for a finite group G, if the right regular representation
R(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.