On the transitivity and primitivity of permutation groups of degree 4p constructed via wreath products using numerical approach

Authors

  • B. O. Johnson* Department of Mathematics and Statistics, Federal University, Wukari , Taraba State, Nigeria
  • S. Hamma†
  • M. S. Adamu†

Keywords:

permutation group, primitivity, wreath products, p-groups, isomorphism

Abstract

Let p be an odd prime number and G a finite permutation group of degree 4p generated via wreath products of pairs of permutation groups. In this work, a group concept, namely isomorphism, is applied to discuss the transitivity and primitivity of G using numerical approach. The computational group theory (GAP) is applied to enhance and validate our work.

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Published

2023-09-28

How to Cite

Johnson*, B. O., Hamma†, S. ., & Adamu†, M. S. . (2023). On the transitivity and primitivity of permutation groups of degree 4p constructed via wreath products using numerical approach. International Journal of Mathematical Analysis and Modelling, 5(2). Retrieved from https://tnsmb.org/journal/index.php/ijmam/article/view/53

Issue

Vol. 5 No. 2 (2022): JNSMB Volume 5, Issue 2

Section

Articles