ON THE COMPUTATION OF CHARACTER TABLES FOR SOME SYMMETRIC GROUPS Sn, n = 3,4 and 5 | Asian Journal

The table of characters and irreducible character tables for the representation of various symmetric groups Sn, n = 3,4 and 5, were presented in this study. The character table for Sn, n = 3,4 was computed using the Frobenius and Hooklenght formula, according to Zhao (2008)'s work. As n grows larger, the formula becomes less efficient and more difficult to employ. As a result, we demonstrated that using a Computer Algebra System (we used GAP) [1] to compute the character table for Sn will be more efficient as n rises.

Please see the link :- https://www.ikprress.org/index.php/AJOMCOR/article/view/725