• 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

  • From page
    136
  • To page
    140
  • 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
  • Record number

    2750100