On primitivity and regularity of wreath product groups of degree 5p that are not p- groups using numerical approach

S. H. Tsok 1, *, S. Hamma 2 and I.B. Mshelia 2

1 Department of Mathematics Faculty of Natural and Applied Sciences Plateau State University Bokkos, Nigeria.
2 Department of Mathematical Sciences Abubakar Tafawa Balewa University Bauchi, Nigeria.
 
Review
International Journal of Scholarly Research in Science and Technology, 2023, 02(02), 047–056.
Article DOI: 10.56781/ijsrst.2023.2.2.0026
Publication history: 
Received on 05 April 2023; revised on 10 June 2023; accepted on 13 June 2023
 
Abstract: 
Let p be an odd prime number. This work applies some group concepts to construct the Wreath Product of two permutation groups of prime degrees. We used numerical approach to investigate and determine the primitive and regular nature of the constructed Wreath Product Group of degree 5p. We apply Computational Group Theory (GAP) to facilitate as well as validate our results.
 
Keywords: 
Groups; Wreath Product Group; Primitivity; Regularity; Degree 5p; Permutation group
 
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Copyright information: 
Copyright © 2023 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution Liscense 4.0