### Article

Kyungpook Mathematical Journal 2023; 63(2): 167-173

**Published online** June 30, 2023

Copyright © Kyungpook Mathematical Journal.

### An Upper Bound for the Probability of Generating a Finite Nilpotent Group

Halimeh Madadi, Seyyed Majid Jafarian Amiri, Hojjat Rostami^{*}

Department of Mathematics, Miyaneh Branch, Islamic Azad University, Miyaneh, Iran

e-mail : halime_madadi@yahoo.com

Department of Mathematics, Faculty of Sciences, University of Zanjan, P. O. Box 45371-38791, Zanjan, Iran

e-mail : sm_jafarian@znu.ac.ir

epartment of Mathematics, Farhangian University, Tehran, Iran

e-mail : h.rostami5991@gmail.com

**Received**: February 17, 2022; **Revised**: December 24, 2022; **Accepted**: February 22, 2023

Let

**Keywords**: Soluble group, Nilpotent subgroup, Probability