INVESTIGATING THE SOLUBILITY OF WREATH PRODUCTS GROUP OF DEGREE 4P USING NUMERICAL APPROACH
Keywords:
p-Groups and Sylow p-subgroup, Wreath Products, Solubility, Permutation GroupAbstract
Let p be a prime number (p = {3, 5, 7, 11, …}) and G a finite permutation group of degree 4p, generated via wreath products of pairs of permutation groups. We, in this paper discuss the solubility of G using numerical approach. The groups, algorithms and programming (GAP) is used to generate G and also validate our results.
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