Document Type : Research Paper
1 Department of Mathematics , Faculty of Science, University of Lagos, Akoka, Yaba, Nigeria.
2 University of New Mexico, Gallup Campus, NM 87301, USA
Abstract. 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 Xn1. 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.
- Keywords: Neutrosophic Automorphism
- commutator subgroup
- neutrosophic subgroup
- minimal condition
- mapping compotion