On Refined Neutrosophic Finite p-Group

Authors

Sunday Adesina Adebisi
Florentin Smarandache, University of New MexicoFollow

Document Type

Article

Publication Date

2023

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.

Language (ISO)

English

Recommended Citation

Adebisi, Sunday Adesina and Florentin Smarandache. "On Refined Neutrosophic Finite p-Group." (2023). https://digitalrepository.unm.edu/math_fsp/623

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.