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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.
Singh et al. (Sun,) studied this question.
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