Chevalley Warning type results on abelian groups

Abstract

We develop a notion of degree for functions between two abelian groups that allows us to generalize the Chevalley Warning Theorems from fields to noncommutative rings or abelian groups of prime power order.

References in corpus (1)

• Solving systems of equations in supernilpotent algebras

Cited by in corpus (4)

• Polynomial maps and polynomial sequences in groups
• The Alon-Jaeger-Tarsi conjecture via group ring identities
• Zero testing and equation solving for sparse polynomials on rectangular domains
• Functional degrees and arithmetic applications III: Beyond Prime Exponent