IIARD International Institute of Academic Research and Development

INTERNATIONAL JOURNAL OF APPLIED SCIENCES AND MATHEMATICAL THEORY (IJASMT )

E- ISSN 2489-009X
P- ISSN 2695-1908
VOL. 9 NO. 2 2023
DOI: https://doi.org/10.56201/ijasmt.v9.no2.2023.pg21.29

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Investigating Primitivity and Regularity of Wreath Product Group of Degree 2p that are not p-Group by Numerical Approach.

S. H. Tsok, S. Hamma & M.S. Adamu

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Abstract

Let p be an odd prime number. In this paper we apply some group concepts to construct a Wreath Product group by using two permutation groups of prime degrees; we investigate the primitivity and regularity of the Wreath Product Group of degree 2p. The concepts of group actions was used, the work was carry out numerically by apply Computational Group Theory (GAP) which yield results.

keywords:

Groups, Wreath Product Group, Primitivity, Regularity, degree 2p, permutation group

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References:

Praeger C.E.and Scheider C. Ordered Tripple Designs And Wreath Production of Groups
Technical report Supported by an Australian Research Council large grant (2002).

Dinneen M. J. Faver V. and Follows M.R, Algebraic constructions of efficient broasdcast
networks, Applied Algebra, Algebraic Algorithms and error-correcting, codes lecturer
Notes in Computer Science, (1991) Vol. 539 Springer, Berli.

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