Iterated Bicrossed Product of Groups

Abstract

In [5], Cetinalp and Karpuz studied iterated crossed product contruction from the point of algebraic structures. In this paper, we study iterated bicrossed product looking from the viewpoint of Combinatorial Group Theory and describe a new version of iterated bicrossed product of groups. Also, we investigate that the group property of this new product is provided. Then, by considering finite cyclic groups, we give an example for iterated bicrossed product of groups.