Functional degrees and arithmetic applications. I: The set of functional degrees

DOI10.1016/j.jalgebra.2022.05.035OpenAlexW4221149569MaRDI QIDQ2161166

Pete L. Clark, Uwe Schauz

Publication date: 4 August 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.02763

zbMATH Keywords

abelian groupspolynomial functionsfunctional degree

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Polynomials over finite fields (11T06) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Mixed groups (20K21)

Cites Work

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• Polynomial mappings on Abelian groups
• A lemma on polynomials modulo \(p^m\) and applications to coding theory
• Noncommutative cohomologies and Mumford groups
• Some congruences for binomial coefficients
• Polynomial mappings of groups
• Classification of polynomial mappings between commutative groups.
• Chevalley-Warning type results on abelian groups
• Improvements of the Chevalley-Warning and the Ax-Katz Theorems
• On a Theorem of Ax
• Zeroes of Polynomials Over Finite Fields