6 papers
Separating versus ordinary Noether numbers
Mátyás Domokos, Barna Schefler
Let be a finite group and a field containing an element of multiplicative order . It is shown that if has a cyclic subgroup of index at most , then the separati…
On separating sets of polynomial invariants of finite abelian group actions
Barna Schefler, Kevin Zhao, Qinghai Zhong
Let be a finite group acting on a finite dimensional complex vector space via linear transformations. Let be the algebra of polynomials that are invariant…
On the separating Noether number of finite abelian groups
Barna Schefler, Kevin Zhao, Qinghai Zhong
The separating Noether number of a finite group is the minimal positive integer such that for every finite -module there is a separating set co…
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 . Most of the results are proved for the case of a ge…
The separating Noether number of abelian groups of rank two
Barna Schefler
The exact value of the separating Noether number of an arbitrary finite abelian group of rank two is determined. This is done by a detailed study of the monoid of zero-sum sequence…
The separating Noether number of the direct sum of several copies of a cyclic group
Barna Schefler
The exact value of the separating Noether number of some finite abelian groups is determined, including the direct sums of cyclic groups of the same order.