On the Refined Neutrosophic Nonabelian P-Groups of A Given Order

Abstract

In every nonabelian neutrosophic p-group G(I), possessing two neutrosophic cyclic subgroups X(I)i and X(I)j , the quotient neutrosophic group of G(I) by X(I)i is isomorphic to the neutrosophic cyclic group X(I)j for i, j ∈ {1, 2}, i /= j. Moreover, if p > 2 and G(I) is metacyclic, possessing a neutrosophic nonabelian section Y (I), of order p³, then Y (I) is a trivial neutrosophic subgroup of G(I).