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Cevik, Ahmet Sinan Korean Mathematical Society 2020 대한수학회보 Vol.57 No.1
The fundamental idea of this article is to present an effective way to obtain the large groups in terms of the split extension obtained by a finite cyclic group and a free abelian group rank 2. The proof of the main result on largeness property of this specific split extension groups will be given by using the connection of large groups with the groups having deficiency one presentations.
Ahmet Sinan Cevik 대한수학회 2020 대한수학회보 Vol.57 No.1
The fundamental idea of this article is to present an effective way to obtain the large groups in terms of the split extension obtained by a finite cyclic group and a free abelian group rank $2$. The proof of the main result on largeness property of this specific split extension groups will be given by using the connection of large groups with the groups having deficiency one presentations.
ON THE GEOMETRY OF THE CROSSED PRODUCT OF GROUPS
Ates, Firat,Cevik, Ahmet Sinan,Karpuz, Eylem Guzel Korean Mathematical Society 2021 대한수학회보 Vol.58 No.5
In this paper, firstly, we work on the presentation of the crossed product of groups of general types. After that we find the generating pictures (Second Homotopy Group) of this product by looking the relations from a geometric viewpoint. Finally, we give some applications.