Open AccessCharacteristics of the Number of Conjugacy Classes and P-Regular Classes in Finite Symmetric Groups
Author(s) -
Shuker Mahmood Khalil,
Nadia M. Ali Abbas
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/571/1/012007
Subject(s) - conjugacy class , mathematics , combinatorics , symmetric group , group (periodic table) , class (philosophy) , finite group , physics , computer science , quantum mechanics , artificial intelligence
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 N c ( S n ) in S n is shown. Furthermore, the relation between p and n that is satisfying the equality are investigated.