On the Noether number of p-groups
classification
🧮 math.GR
math.ACmath.NTmath.RT
keywords
groupgroupsordercyclicdegreeindecomposableindexinvariant
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A group of order $p^n$ ($p$ prime) has an indecomposable polynomial invariant of degree at least $p^{n-1}$ if and only if the group has a cyclic subgroup of index at most $p$ or it is isomorphic to one of two particular groups of small order.
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