Characteristics of the Number of Conjugacy Classes and P-Regular Classes in Finite Symmetric Groups

2nd International Scientific Conference (Pure Sciences, Brilliant Creativity and Renewed Building)

Khalil, Shuker Mahmood^1 ; Ali Abbas, Nadia M.^2

Department of Mathematics, College of Science, University of Basrah, Basrah

61004, Iraq^1

Ministry of Education, Al-Kark 3, Baghdad, Iraq^2

关键词: Conjugacy class;    Symmetric groups;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/571/1/012007/pdf
DOI  :  10.1088/1757-899X/571/1/012007

来源: IOP

【 摘 要 】

In this work, the number of p-regular classes N prc(S n) in symmetric group S n is always less than or equal to the number of conjugacy classes Nc (S n) in S n is shown. Furthermore, the relation between p and n that is satisfying the equality are investigated.