On refined neutrosophic finite p-group

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 X۱ = 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-۱. In this paper, we show that if any neutrosophic group of the sequence G (I), X۱, X۲, … is the identity, then G (I) is nilpotent.

کلیدواژه ها:

Neutrosophic automorphism ، commutator subgroup ، neutrosophic subgroup ، minimal condition ، Mapping composition ، nilpotency