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http://dx.doi.org/10.4134/BKMS.b200961

ON THE GEOMETRY OF THE CROSSED PRODUCT OF GROUPS  

Ates, Firat (Department of Mathematics Balikesir University)
Cevik, Ahmet Sinan (Department of Mathematics Selcuk University)
Karpuz, Eylem Guzel (Department of Mathematics Karamanoglu Mehmetbey University)
Publication Information
Bulletin of the Korean Mathematical Society / v.58, no.5, 2021 , pp. 1301-1314 More about this Journal
Abstract
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.
Keywords
Group presentation; crossed product; ${\pi}_2$-generators; pictures;
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