Groups with large relative Noether bound

Details Groups with large relative Noether bound Groups with large relative Noether bound

2011-05-03

arxiv.org/abs/1105.0679v3

Mathematics

Representation Theory

the error introduced in version 2 eliminated and minor corrections made

Scientific paper

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. The Noether bound is determined for these groups, and
estimates are given for various other groups as well.

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