Ludvig Olsson: Brauer’s Theorem and Beyond

Abstract

We provide a proof of Brauer's theorem and a discussion of the implications of the theorem to Artin's holomorphy conjecture. We also define M-groups and prove some basic results about them such as Dade's embedding theorem. We define a quasi-monomial character to be a character a multiple of which is monomial and also provide an example of such a character.