Mixed and Non-mixed Normal Subgroups of Dihedral Groups Using Conjugacy classes

Authors

  • S. Vinod Department of Mathematics, Government College for Women, Thiruvananthapuram, Kerala, India;
  • G.S. Biju Department of Mathematics, College of Engineering, Trivandrum Kerala,India;

DOI:

https://doi.org/10.23755/rm.v40i1.604

Abstract

In this paper, we characterize and compute the mixed and non-mixed basis of Dihedral groups. Also, by computing the conjugacy classes, we describe all the mixed and non-mixed normal subgroups of Dihedral Groups.

References

Keith Conrad. Dihedral groups ii. http://www.math.uconn.edu/ kconrad/blurbs/grouptheory/dihedral2.pdf, Retrievedb.

David Steven Dummit and Richard M Foote. Abstract algebra. Wiley Hoboken, 2003.

Joseph A Gallian. Contemporary Abstract Algebra. D.C.Heath and Company, 1994.

GA Miller. Subgroups of the groups whose orders are below thirty. Proceedings of the National Academy of Sciences of the United States of America, 26(8): 500–502, 1940.

Marius Tarnauceanu.

An arithmetic method of counting the subgroups of a finite abelian group. Bulletin mathematique de la Soci´et´e des Sciences Math´ematiques de Roumanie, pages 373–386, 2010.

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Published

2021-07-04

Issue

Vol. 40 (2021)

Section

Volume 40-2021

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