On the geometry of the crossed product of groups
Bull. Korean Math. Soc.
Published online June 3, 2021
Fırat Ateş, Ahmet Sinan Çevik, and Eylem Güzel Karpuz
Balıkesir University, Selçuk University, Karamanoglu Mehmetbey University
Abstract : In this paper, firstly, we work on the presentation of the crossed product of groups of general types. After that we fi nd 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 : 20F05; 20F55; 20F65
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