On the Noether number of $p$-groups
Group Theory
2018-03-20 v3 Commutative Algebra
Number Theory
Representation Theory
Abstract
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 is isomorphic to one of two particular groups of small order.
Cite
@article{arxiv.1604.01938,
title = {On the Noether number of $p$-groups},
author = {Kálmán Cziszter},
journal= {arXiv preprint arXiv:1604.01938},
year = {2018}
}
Comments
Several corrections and simplifications made