Result for the Groups SL(2,23) and SL(2,29)

Abstract: A collection of (n×n) not-sole matrices on F domain this collection combine a group beneath process of matrix multiply invited the general linear group of measure on domain F, indicate . The kernel of a homomorphism of to F* is the special linear group and indicate by is the determinant of these matrices, and this homomorphism Thus contains all matrices of determinant one which is the subgroup of The objective of the study is to find the Artin directrix (A.d.) for the groups (2,23) and (2,29) from written the rational valued characters (r.v.ch.) of the rational representations (r.r.) as a linear combination of the induced characters (in.ch.) for these groups.