R. Bayat - Department of Mathematics, Payame Noor University, P.O. Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.
M. Alaeiyan - Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.
S. Firouzian - Department of Mathematics, Payame Noor University, P.O. Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.

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.

hypergraph, t-Cayley hypergraph, normal t-Cayley hypergraph