we prove that each normal automorphism of the $n$-periodic product of cyclic groups of odd order $rge1003$ is inner, whenever $r$ divides $n$.

In a previous paper [1], we initiated systematic study of semihypergroups and had thorough discussion about some important analytic algebraic objects associated to this class objects. paper, investigate free structures on the category semihypergroups. We show that natural product structure along with topology, although fails give for topological groups, works well vast non-trivial ‘pure’ contai...

In this paper proves a result about free products of groups, namely, that if a group is finitely generated, it can be factored uniquely into the free product of “indecomposable” groups. This proof uses the theory of fundamental groups and covering spaces, so some basics of algebraic topology are introduced along the way