Polynomials in Fp[x] Which Commute Under Composition
Keywords:
polynomials; finite fields; composition of functions; combinatorics
Abstract
Let F be a finite field and let f be a linear polynomial in F[x]. We investigate the number of polynomials of degree d which commute with f under composition. In so doing, we rediscover a result of Park, but with a conceptually simpler proof.
Published
2023-02-06
How to Cite
Hatley, J., & Teplitskiy, M. (2023). Polynomials in Fp[x] Which Commute Under Composition. The PUMP Journal of Undergraduate Research, 6, 102-114. https://doi.org/10.46787/pump.v6i0.3611
Section
Articles
Copyright (c) 2023 Jeffrey Hatley, Mayah Teplitskiy
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