Bull. Korean Math. Soc. 2021; 58(5): 1301-1314
Online first article June 3, 2021 Printed September 30, 2021
https://doi.org/10.4134/BKMS.b200961
Copyright © The Korean Mathematical Society.
F\i rat Ate\c{s}, Ahmet Sinan \c{C}evik, Eylem G\"{u}zel Karpuz
Balikesir University; Sel\c{c}uk University; Karamano\u{g}lu Mehmetbey University
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
MSC numbers: Primary 20F05, 20F55, 20F65
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