English

On the generalized Davenport constant and the Noether number

Representation Theory 2013-12-31 v2 Commutative Algebra

Abstract

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 polynomial invariants of an arbitrary finite group. An improved general upper bound is given on the degrees of polynomial invariants of a non-cyclic finite group which cut out the zero vector.

Keywords

Cite

@article{arxiv.1205.3416,
  title  = {On the generalized Davenport constant and the Noether number},
  author = {K. Cziszter and M. Domokos},
  journal= {arXiv preprint arXiv:1205.3416},
  year   = {2013}
}

Comments

14 pages

R2 v1 2026-06-21T21:04:30.597Z