Barna Schefler

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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 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…

math.AC2024

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…