32 citations · 47 across the 8 of their papers we have counts for
8 papers
The directed Cayley diameter and the Davenport constant
Réka András, Kálmán Cziszter, Mátyás Domokos +1
The directed Cayley diameter of a finite group is investigated in terms of the monoid of product-one sequences over the group, via the new notion of directed geodesic atoms. Two qu…
Lower bounds on the Noether number
K. Cziszter, M. Domokos
The best known method to give a lower bound for the Noether number of a given finite group is to use the fact that it is greater than or equal to the Noether number of any of the s…
The Noether numbers and the Davenport constants of the groups of order less than 32
Kálmán Cziszter, Mátyás Domokos, István Szöllősi
The computation of the Noether numbers of all groups of order less than thirty-two is completed. It turns out that for these groups in non-modular characteristic the Noether number…
On the Noether number of -groups
Kálmán Cziszter
A group of order ( prime) has an indecomposable polynomial invariant of degree at least if and only if the group has a cyclic subgroup of index at most or it…
The interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics
K. Cziszter, M. Domokos, A. Geroldinger
This paper surveys and develops links between polynomial invariants of finite groups, factorization theory of Krull domains, and product-one sequences over finite groups. The goal…
The Noether number for the groups with a cyclic subgroup of index two
K. Cziszter, M. Domokos
The exact degree bound for the generators of rings of polynomial invariants is determined for the finite, non-cyclic groups having a cyclic subgroup of index two. It is proved that…
On the generalized Davenport constant and the Noether number
K. Cziszter, M. Domokos
Known results on the generalized Davenport constant related to zero-sum sequences over a finite abelian group are extended to the generalized Noether number related to the rings of…
Groups with large Noether bound
K. Cziszter, M. Domokos
The finite groups having an indecomposable polynomial invariant whose degree is at least half of the order of the group are classified. Apart from four sporadic exceptions these ar…