A Genelization of Subgroups

Abstract Group theory is an important branch of mathematics. It has applications in many disciplines, such as physics, chemistry and quantum mechanics. The aim this document to provide readers with a greater understanding the basic knowledge group theory. Specifically, firstly, concepts properties different types groups, subgroups definition coset are introduced, which will be used next section. Besides, several examples including finite infinite abelian groups listed. Then, discussion two simple theorems some lemmas showed so that can familiar groups. This deepen maximal subgroups. paper investigates definitions In future, more researchers pay attention application areas.