In this paper, the concept of [Formula: see text]-subgroup is introduced. It is proved that in finite cyclic groups [Formula: see text], the collection [Formula: see text] of all [Formula: see text]-subgroups of [Formula: see text] is a sublattice of [Formula: see text]. It is also proved that [Formula: see text] is not a sublattice of [Formula: see text] in general. Further, a characterization is obtained for [Formula: see text] to be a sublattice of [Formula: see text].
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Singh et al. (2024) studied this question.
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