Groups with large Noether bound

Kálmán Cziszter[1]; Mátyás Domokos[2]

  • [1] Central European University, Department of Mathematics and its Applications, Nádor u. 9, 1051 Budapest, Hungary
  • [2] Rényi Institute of Mathematics, Hungarian Academy of Sciences, Reáltanoda u. 13-15, 1053 Budapest, Hungary

Annales de l’institut Fourier (2014)

  • Volume: 64, Issue: 3, page 909-944
  • ISSN: 0373-0956

Abstract

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The finite groups having an indecomposable polynomial invariant of degree at least half the order of the group are classified. It turns out that –apart from four sporadic exceptions– these are exactly the groups with a cyclic subgroup of index at most two.

How to cite

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Cziszter, Kálmán, and Domokos, Mátyás. "Groups with large Noether bound." Annales de l’institut Fourier 64.3 (2014): 909-944. <http://eudml.org/doc/275588>.

@article{Cziszter2014,
abstract = {The finite groups having an indecomposable polynomial invariant of degree at least half the order of the group are classified. It turns out that –apart from four sporadic exceptions– these are exactly the groups with a cyclic subgroup of index at most two.},
affiliation = {Central European University, Department of Mathematics and its Applications, Nádor u. 9, 1051 Budapest, Hungary; Rényi Institute of Mathematics, Hungarian Academy of Sciences, Reáltanoda u. 13-15, 1053 Budapest, Hungary},
author = {Cziszter, Kálmán, Domokos, Mátyás},
journal = {Annales de l’institut Fourier},
keywords = {Noether bound; polynomial invariant; zero-sum sequence},
language = {eng},
number = {3},
pages = {909-944},
publisher = {Association des Annales de l’institut Fourier},
title = {Groups with large Noether bound},
url = {http://eudml.org/doc/275588},
volume = {64},
year = {2014},
}

TY - JOUR
AU - Cziszter, Kálmán
AU - Domokos, Mátyás
TI - Groups with large Noether bound
JO - Annales de l’institut Fourier
PY - 2014
PB - Association des Annales de l’institut Fourier
VL - 64
IS - 3
SP - 909
EP - 944
AB - The finite groups having an indecomposable polynomial invariant of degree at least half the order of the group are classified. It turns out that –apart from four sporadic exceptions– these are exactly the groups with a cyclic subgroup of index at most two.
LA - eng
KW - Noether bound; polynomial invariant; zero-sum sequence
UR - http://eudml.org/doc/275588
ER -

References

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