Title of article :
On refined neutrosophic finite p-group
Author/Authors :
Adebisi ، Sunday Adesina Department of Mathematics - Faculty of Science - University of Lagos , Smarandache ، Florentin Department of Mathematics - University of New Mexico, Gallup Campus
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 :
Neutrosophic automorphism , commutator subgroup , neutrosophic subgroup , minimal condition , Mapping composition , nilpotency
Journal title :
Journal of Fuzzy Extension and Applications
Journal title :
Journal of Fuzzy Extension and Applications