D. Samaila

Identification, Generating and Classification of Morphisms between Finite Groups

D. Samaila & M. Pius Pur · Journal of Scientific Research and Reports · 2016

Our goal in this paper is to generate functions fi from a finite group G to itself such that each fi’s are morphisms. The concept of the fundamental theorem of finite Abelian group was introduced and we proved the result that if G is any finite Abelian group, then the factor grou...

Open access Research Article 10.9734/JSRR/2016/26346

A Constructive Method for Using Known Groups as Building Blocks to form More Groups

D. Samaila & M. Pius Pur · Journal of Scientific Research and Reports · 2016

In this paper, we present some methods of constructing new groups from given ones. We first examined the direct product  of the finite groups Gi for n³2 and then observed that . We also established the fact that for any prime number p > 2 and any positive integer k, |U(pk)| =...

Open access Research Article 10.9734/JSRR/2016/26080

On Hamiltonian Path and Circuits in Non-Abelian Finite Groups

G. N. Shuaibu & D. Samaila · Advances in Research · 2016

The main objective of this paper is to determine the non-Abelian finite groups which contain only Abelian and Hamiltonian subgroups and to obtain some of their fundamental properties. Two exceptional groups of orders 16 and 24 were examined and are completely determined using GAP...

Open access Research Article