Fractional Brauer configuration algebras III: fractional Brauer graph algebras in type MS

Abstract: In previous papers, we defined fractional Brauer graphs and studied their covering theory. In this paper, we develop a covering theory for the Brauer $G$-sets and use it to generalize the representation type results and the AR-components results on Brauer graph algebras to the scope of fractional Brauer graph algebras in type MS.