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)



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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