Indecomposable polynomials and their spectrum

Abstract

We address some questions concerning indecomposable polynomials and their spectrum. How does the spectrum behave via reduction or specialization, or via a more general ring morphism? Are the indecomposability properties equivalent over a field and over its algebraic closure? How many polynomials are decomposable over a finite field?

22 pages

Cited by in corpus (4)

• Counting decomposable univariate polynomials
• Normal form for Ritt's Second Theorem
• Counting reducible, powerful, and relatively irreducible multivariate polynomials over finite fields
• Bounding the number of remarkable values via Jouanolou's theorem