The degree of a function between two abelian groups

Description

To each function $f$ from an abelian group $A$ into an abelian group $B$, we assign a number $n \in \mathbb{N}_0 \cup \{ \infty \}$, called the \emph{functional degree} of~$f$. The functional degree can be used in bounding the supernilpotence class of an algebra, and it provides an explanation for the occurence of the \emph{$p$-weight degree} in many improvements of the Chevalley Warning Theorems. We present the basic properties of the functional degree and show how it compares to the total degree of a polynomial function. This builds on earlier work by Peter Mayr and is joint research with Jakob Moosbauer.

Period	22 Feb 2020
Event title	AAA99 - 99th workshop on general algebra
Event type	Conference
Location	ItalyShow on map