Bull. Korean Math. Soc. 2020; 57(1): 195-206
Online first article July 18, 2019 Printed January 31, 2020
https://doi.org/10.4134/BKMS.b190146
Copyright © The Korean Mathematical Society.
Ahmet Sinan Cevik
Science Faculty, Selcuk University
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.
Keywords: Deficiency, efficiency, large groups, presentation, spherical pictures
MSC numbers: Primary 20L05, 20M05, 20M15, 20M50
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