Iterated Bicrossed Product of Groups

Year 2022, Volume: 10 Issue: 1, 134 - 137, 15.04.2022

Esra Kırmızı Çetinalp

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.

Keywords

Bicrossed product, group, semidirect product.

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