Representations with a Unique Monomial Structure

Abstract In this chapter, we recall the notion of monomial structures (and their isomorphism) on a representation, show natural structure induced representations, and introduce solitary characters (characters whose representation has unique up to isomorphism); these may be used detect conjugacy subgroups. We also specific type wreath product construction state prove Bart de Smit’s theorem existence for follow-up result Pintonello degree two)—these were previously formulated in context number theory, but present them abstractly. give an application covering equivalence very setup manifolds, count required characters, based formula commutator product.