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20022022
most citedThe Noether numbers and the Davenport constants of the groups of order less than 32

32 citations · 111 across the 44 of their papers we have counts for

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math.AC2022

Symmetric polynomials over finite fields

Mátyás Domokos, Botond Miklósi

It is shown that two vectors with coordinates in the finite -element field of characteristic belong to the same orbit under the natural action of the symmetric group if each…

math.AC2022

Syzygies for the vector invariants of the dihedral group

M. Domokos

The problem of finding generators of the -ideal of the relations between the generators of the algebra of invariants of the dihedral group acting on -tuples of vectors from…

math.AC2022

Separating monomials for diagonalizable actions

M. Domokos

Sets of monomials separating Zariski closed orbits under diagonalizable group actions are characterized in terms of the monoid of zero-sum sequences over the character group. This…

math.AC2021

Low dimensional flow polytopes and their toric ideals

Mátyás Domokos, Dániel Joó

The toric ideal of a -dimensional flow polytope has an initial ideal generated by square-free monomials of degree at most . The toric ideal of a flow polytope of dimension at…

math.AC2019★ 12 cited

Characteristic free description of semi-invariants of matrices

M. Domokos

A minimal homogeneous generating system of the algebra of semi-invariants of tuples of two-by-two matrices over an infinite field of characteristic two or over the ring of integers…

math.AC2018★ 1 cited

On syzygies for rings of invariants of abelian groups

M. Domokos

It is well known that results on zero-sum sequences over a finitely generated abelian group can be translated to statements on generators of rings of invariants of the dual group.…