Finite Blaschke Products and Group Theory

Stephan Ramon Garcia, Javad Mashreghi and William T. Ross
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Stephan Ramon Garcia: Pomona College, Department of Mathematics
Javad Mashreghi: Laval University, Department of Mathematics and Statistics
William T. Ross: University of Richmond, Department of Mathematics and Computer Science

Chapter Chapter 9 in Finite Blaschke Products and Their Connections, 2018, pp 181-207 from Springer

Abstract: 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 : 𝕋 → 𝕋 $$u:\mathbb {T}\to \mathbb {T}$$ for which B ∘ u = B on 𝕋 $$\mathbb {T}$$ . 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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-78247-8_9

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DOI: 10.1007/978-3-319-78247-8_9

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