International Journal of Fuzzy Mathematical Archive
  • Year: 2020
  • Volume: 18
  • Issue: 2

The general classification of the modular group of the structure Mpn × Cp

1Department of Mathematics, Faculty of Science, University of Lagos, Nigeria

2Department of mathematics, Faculty of Science, University of Ibadan, Nigeria

*Corresponding author, Email: adesinasunday@yahoo.com

Online published on 29 January, 2021.

Abstract

In this paper, the classification of finite p-groups is extended to the group of the modular structure Mpn×Cp, and the number of distinct subgroups were computed, making an entire classification of the given structure possible for any given prime p.

Keywords

Finite p-Groups, Nilpotent Group, Fuzzy subgroups, Dihedral Group, Inclusion-Exclusion Principle, Maximal subgroups. Explicit formulae, Non-cyclic subgroup, Prime