Date of Award
Master of Science
This paper seeks to examine the representations of GLn(Fq) for n > 1, q = pk for some prime p and integer k. This family of groups provides a useful first example when examining the classication of group representations for a group G. The non-cuspidal representations of GL2(Fq) and GL3(Fq) will be explicitly constructed, with a short discussion on the generalization of these constructions to the more general case, GLn(Fq).
This thesis is only available for download to the SIUC community. Others should
contact the interlibrary loan department of your local library.