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On the Structure of Pronormal Subgroups of Dihedral Groups
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In this paper, we study the structure of the collection of pronormal subgroups of dihedral groups Dn for different values of n. We enumerate the number of pronormal subgroups of Dn when n is some power of 2. Also, the relation of the collection of all pronormal subgroups with normal subgroups and all subgroups of Dn for different values of n are studied.
Keywords
Group, Normal Subgroup, Pronormal Subgroup, Maximal Subgroup, Hall Subgroup, Lattice of Subgroups.
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