Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

HOME ALL ARTICLES View

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.

An example of large groups

Ahmet Sinan Cevik

Science Faculty, Selcuk University

Abstract

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