Groups with large Noether bound
classification
🧮 math.RT
math.ACmath.GR
keywords
groupshavingapartboundclassifiedcyclicdegreeexactly
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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 are exactly the groups having a cyclic subgroup of index at most two.
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