Exploring the Primitivity and Regularity of Dihedral Groups of Degree 5p Using Numerical Approaches.

Samuel Hwere Tsok; Sabo Hama; M. S. Adamu

doi:10.52589/AJMSS-XZYGFTP8

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Exploring the Primitivity and Regularity of Dihedral Groups of Degree 5p Using Numerical Approaches.

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African Journal of Mathematics and Statistics Studies

Vol. 7Issue 42024pp. 205–225Published 14 November 2024

DOI 10.52589/AJMSS-XZYGFTP8

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Abstract:

This paper delves into exploration of primitivity and regularity of Dihedral groups of degree 5p, where p is prime, focusing on cases where these groups are not p-groups. By utilizing numerical approaches, the properties of these groups are examined to shed light on their structure, behavior, and underlying algebraic characteristics. Key numerical methods are employed to calculate invariants and test conditions for primitivity and regularity in these groups. [20][13]

Keywords:Dihedral groups Primitivity Regularity Numerical approach GAP.

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Copyrights

Authors retain copyright in their articles and have unrestricted rights to reuse, republish, archive, share, and distribute their work after publication.
All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.