On The Topological Groups and Their Compactifications

Abstract

In this paper some topics in topological groupshas beendiscussed, and the compact spaces and compactifications of topological groups were stated.Firstly, many definitions have been statedand followed by many examples of topological groups, some theorems have been included which are propositions and lemmas as well asthe locally compact abelian topological groupswere discussed.Secondly, the paper included a compactification of topological groups and prove some theorem and some propositions concern this topic.