A SURVE Y ON THE SOLVABILITYAND SIMPLICITY STATUS OF PERMUTATION GROUPS

Authors

  • M. BELLO Mathematics and Computer Science Department, Federal University Kashere, Gombe State, Nigeria
  • Mathematics and Computer Science Department, Federal University Kashere, Gombe State, Nigeria Mathematics and Computer Science Department, Federal University Kashere, Gombe State, Nigeria

DOI:

https://doi.org/10.56892/bima.v3i01.112

Abstract

This paper is a survey for the solvability and simplicity status of a permutation group G whose
order is of the form ???????????? , where r is any prime and p is odd prime. The group of this form can be
p-group or any group generated by wreath products of two permutation groups depending on the
value of r and p. The concept of p groups and wreath products of two permutation groups has been
applied to explore the groups of interest and later investigation has been carried out to test them
for the above stated status.

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Published

2019-07-12

How to Cite

M. BELLO, & Mathematics and Computer Science Department, Federal University Kashere, Gombe State, Nigeria. (2019). A SURVE Y ON THE SOLVABILITYAND SIMPLICITY STATUS OF PERMUTATION GROUPS. BIMA JOURNAL OF SCIENCE AND TECHNOLOGY (2536-6041), 3(01), 1-8. https://doi.org/10.56892/bima.v3i01.112