TY  - JOUR
AU  - Al-Hasanat, Bilal 
AU  - Al-Dababseh, Awni 
AU  - Al-Sarairah, E. 
AU  - Alobiady, Sadoon 
AU  - Alhasanat, Mahmoud Bashir 
PY  - 2017
TI  - An Upper Bound to the Number of Conjugacy Classes of Non-Abelian Nilpotent Groups
JF  - Journal of Mathematics and Statistics
VL  - 13
IS  - 2
DO  - 10.3844/jmssp.2017.139.142
UR  - https://thescipub.com/abstract/jmssp.2017.139.142
AB  - The number of conjugacy classes of symmetric group, dihedral group and some nilpotent groups is obtained. Until now, it has not been obtained for all nilpotent groups. Although there are some lower bounds to this value, there is no non-trivial upper bound. This paper aims to investigate an upper bound to this number for all finite nilpotent groups. Moreover, the exact number of conjugacy classes is found for a certain case of non-abelian nilpotent groups.