The Journal of the Indian Mathematical Society

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On the Structure of Pronormal Subgroups of Dihedral Groups


Affiliations
1 Department of Mathematics, S. P. Pune University, Pune 411007, India
     

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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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  • On the Structure of Pronormal Subgroups of Dihedral Groups

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Authors

Shrawani Mitkari
Department of Mathematics, S. P. Pune University, Pune 411007, India
Vilas Kharat
Department of Mathematics, S. P. Pune University, Pune 411007, India
Manish Agalave
Department of Mathematics, S. P. Pune University, Pune 411007, India

Abstract


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.

References





DOI: https://doi.org/10.18311/jims%2F2023%2F29718