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FUZZY SUBGROUPS OF THE DIHEDRAL GROUP OF ORDER $2 p^n q$ FOR DISTINCT PRIMES $p$ AND $q, \mathbf{A N D} n \in \mathbb{N}$
Keywords:
dihedral group, equivalence, fuzzy group, flags, distinguishing factor, cyclic maximal chain, md-cyclic, b-cyclicDOI:
https://doi.org/10.17654/0972087125008Abstract
This study is a continuation of our work in [17]. In this paper, we use the same definition of equivalence and enumeration algorithm exploited in [17], to establish general formulae for the number of flags and distinct fuzzy subgroups of $2 p^n q$ for distinct primes p and q, and n a positive integer.
This study is a continuation of our work in [17]. In this paper, we use the same definition of equivalence and enumeration algorithm exploited in [17], to establish general formulae for the number of flags and distinct fuzzy subgroups of $2 p^n q$ for distinct primes p and q, and n a positive integer.
Received: September 13, 2024
Revised: October 16, 2024
Accepted: November 18, 2024
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