Barna Schefler

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20232025

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math.AC2025

Separating versus ordinary Noether numbers

Mátyás 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

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

On the separating Noether number of finite abelian groups

Barna Schefler, Kevin Zhao, Qinghai Zhong

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