Barna Schefler

collaborators

4 papers

math.AC2026

On separating sets of polynomial invariants of finite abelian group actions

Barna Schefler, Kevin Zhao, Qinghai Zhong

Let $G$ be a finite group acting on a finite dimensional complex vector space $V$ via linear transformations. Let $C [V]^{G}$ be the algebra of polynomials that are invariant…

math.AC2025

Separating versus ordinary Noether numbers

MÃ¡tyÃ¡s Domokos, Barna Schefler

Let $G$ be a finite group and $K$ a field containing an element of multiplicative order $∣ G ∣$ . It is shown that if $G$ has a cyclic subgroup of index at most $2$ , then the separati…

math.AC2025

The separating Noether number of small groups

M. Domokos, B. Schefler

The present paper completes the computation of the separating Noether numbers for the groups with order strictly less than $32$ . Most of the results are proved for the case of a ge…

math.AC2025

On the separating Noether number of finite abelian groups

Barna Schefler, Kevin Zhao, Qinghai Zhong

The separating Noether number $I^_{sep}^{2} (G)$ of a finite group $G$ is the minimal positive integer $d$ such that for every finite $G$ -module $V$ there is a separating set c…