Score for the Group SL(2,38)

Authors

Niran sabah Jasim Department of Mathematics, college of Education for Pure Science /Ibn AL-Haytham, University of Baghdad, Iraq
Mohammed Ibrahem Lfta Department of Mathematics, Ministry of Education, Directorate General of Education karkh 3, Baghdad, Iraq.
Ahmad Issa Department of Mathematics, Faculty of Science, Karabük University, Karabük, Türkiye

DOI:

https://doi.org/10.30526/36.3.3017

Abstract

The set of all (n×n) non-singular matrices over the field F. And this set forms a group under the operation of matrix multiplication. This group is called the general linear group of dimension over the field F, denoted by . The determinant of these matrices is a homomorphism from into F* and the kernel of this homomorphism was the special linear group and denoted by Thus is the subgroup of which contains all matrices of determinant one.

The rationally valued characters of the rational representations are written as a linear combination of the induced characters for the groups discussed in this paper. We find the Artin indicator for this group after studying the rationally valued characters of the rational representations and the induced characters.

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