The Noether number for the groups with a cyclic subgroup of index two
classification
🧮 math.RT
math.AC
keywords
groupscyclicindexnoethernumbersubgroupbounddegree
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The exact degree bound for the generators of rings of polynomial invariants is determined for the finite, non-cyclic groups having a cyclic subgroup of index two. It is proved that the Noether number of these groups equals one half the order of the group plus 1 or 2.
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