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

Publication Date: 14/11/2024

DOI: 10.52589/AJMSS-XZYGFTP8


Author(s): Samuel Hwere Tsok, Sabo Hama, M. S. Adamu.
Volume/Issue: Volume 7, Issue 4 (2024)
Page No: 205-225
Journal: African Journal of Mathematics and Statistics Studies (AJMSS)


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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