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 ,IN
  • Vilas Kharat
     Department of Mathematics, S. P. Pune University, Pune 411007 ,IN
  • Manish Agalave
     Department of Mathematics, S. P. Pune University, Pune 411007 ,IN

DOI:

https://doi.org/10.18311/jims/2023/29718

Keywords:

Group, Normal Subgroup, Pronormal Subgroup, Maximal Subgroup, Hall Subgroup, Lattice of Subgroups.
20D25, 20D30, 20D40, 20E15, 20E28, 20F22, 20K27, 06C05, 06C15, 06C20

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.

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Published

2023-07-12

How to Cite

Mitkari, S., Kharat, V., & Agalave, M. (2023). On the Structure of Pronormal Subgroups of Dihedral Groups. The Journal of the Indian Mathematical Society, 90(3-4), 401–410. https://doi.org/10.18311/jims/2023/29718

Issue

Volume 90, Issue 3-4, July-December 2023

Section

Articles

License

Copyright (c) 2023 Shrawani Mitkari, Vilas Kharat, Manish Agalave

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Crossref
Scopus
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Europe PMC
Received 2022-03-03
Accepted 2022-04-24
Published 2023-07-12

 

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