On the Projective Characters of the Finite Chevalley Groups

Let p be a prime number, let m be a positive integer and let G be a universal Chevalley group constructed over a field of order ${\rm p\sp{m}}.$ We consider the modular representations (in characteristic p) of the group G. More precisely, we study the Brauer characters of G, concentrating on the projective indecomposable characters (those characters afforded by the projective indecomposable modules). The main tool used in the paper is Steinberg's Tensor Product Theorem.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Holmes, Randall Reed

• Mathematics

Identifier

(UMI)AAI8721660

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/71256