The Artin’s Exponent of Special Linear Group SL(4,p), p = 5, 7

Abstract

The main purpose of this work is to find Artin’s exponent of finite special linear group from any arbitrary characters of cyclic subgroups of these special linear groups and denoted by a(SL(4,p)) where p is any prime number such that p = 5, 7 and we found that a(SL(4,p)) is equal to 2.Key Words: Special linear group, Artin’s exponent, conjugacy class, cyclic group.