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

The generalized quarternion p-group of order 2n: Discovering the Fuzzy subgroups

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

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

*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 cartesian product of the generalized quarternion group of order 2n with a cyclic group of order 2 which also belongs to the class of the famous nilpotent groups.

Keywords

Finite p-groups, Nilpotent group, Fuzzy subgroups, Dihedral group, Quaternion group, Inclusion-exclusion principle, Maximal subgroups