On refined neutrosophic finite p-group
نویسندگان
1 Department of Mathematics, Faculty of Science, University of Lagos, Akoka, Yaba, Nigeria.
2 Department of Mathematics, University of New Mexico, Gallup Campus, NM 87301, USA.
doi
10.22105/jfea.2022.368215.1236چکیده
The neutrosophic automorphisms of a neutrosophic groups G (I) , denoted by Aut(G (I)) is a neu-trosophic group under the usual mapping composition. It is a permutation of G (I) which is also a neutrosophic homomorphism. Moreover, suppose that X1 = X(G (I)) is the neutrosophic group of inner neutrosophic auto-morphisms of a neutrosophic group G (I) and Xn the neutrosophic group of inner neutrosophic automorphisms of Xn-1. In this paper, we show that if any neutrosophic group of the sequence G (I), X1, X2, … is the identity, then G (I) is nilpotent.
