Some Embedment of Groups into Wreath Products

Abstract

Since Embedding is an important property of wreath product, it was studied with regards to normal subgroups and factor Groups. In this paper, we were able to prove that a group can be embedded into the wreath product of two-factor groups, and wreath products of two constituents’ subgroups. It was also proved that a wreath product can also be embedded inside another wreath product and gave examples.