AN EXPLICIT FORMULA FOR FUZZY SUBGROUPS OF THEABELIAN GROUP Z2pn ×Z2, n≥1, p≥3

Authors

  • Mike Ekpen Ogiugo Author
  • Sunday Adesina Adebisi Author
  • Olusola Bamidele Ogunfolu Author
  • Michael Enioluwafe Author

Abstract

 In this paper, we characterise distinct fuzzy subgroups of the
abelian group Z2pn×Z2, using an enumerative technique derived from the set of representatives of isomorphism classes of subgroups and their sizes. We formulate a linear non-homogeneous recurrence relation of degree one with constant coefficients and apply both the associated linear homogeneous and particular solutions to derive an explicit formula for the number of fuzzy subgroups.

Author Biographies

  • Mike Ekpen Ogiugo


    Department of Mathematics, Yaba College of Technology, Lagos, Nigeria.


  • Sunday Adesina Adebisi


    Department of Mathematics, University of Lagos, Lagos, Nigeria.


  • Olusola Bamidele Ogunfolu


    Department of Mathematics, University of Lagos, Lagos, Nigeria.


  • Michael Enioluwafe


    Department of Mathematics, University of Ibadan, Ibadan, Nigeria.

Published

2026-10-10

Issue

Vol. 5 No. 2 (2025): UNILAG Journal Of Mathematics and Applications

Section

Articles