The separating Noether number of small groups
Commutative Algebra
2025-11-21 v3 Group Theory
Representation Theory
Abstract
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 general (possibly finite) base field containing an element whose multiplicative order equals the size of the group.
Keywords
Cite
@article{arxiv.2412.08621,
title = {The separating Noether number of small groups},
author = {M. Domokos and B. Schefler},
journal= {arXiv preprint arXiv:2412.08621},
year = {2025}
}
Comments
The parts of the previous version on the groups with a cyclic subgroup of index two and on the groups of order at most sixteen are moved to a separate article entitled "Separating versus ordinary Noether numbers"