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arxiv: 1105.0679 · v5 · pith:CZCG2EIVnew · submitted 2011-05-03 · 🧮 math.RT · math.AC· math.GR

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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