Abstract
In this chapter we explore two connections between finite Blaschke products and finite group theory. For each finite Blaschke product B, we discuss the group of continuous maps \(u:\mathbb {T}\to \mathbb {T}\) for which B ∘ u = B on \(\mathbb {T}\). We also investigate conditions under which a finite Blaschke product B can be written as the composition of two non-automorphic finite Blaschke products. This is related to the monodromy group associated with B.
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