M. Pius Pur

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