Document Type : Research Paper

Authors

• Sunday Adesina Adebisi ¹
• Florentin Smarandache ²

¹ Department of Mathematics , Faculty of Science, University of Lagos, Akoka, Yaba, Nigeria.

² University of New Mexico, Gallup Campus, NM 87301, USA

Abstract

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 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.

Keywords

• Keywords: Neutrosophic Automorphism
• commutator subgroup
• neutrosophic subgroup
• minimal condition
• mapping compotion
• nilpotency

Main Subjects

• Neutrosophic sets and their variants