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