Groups with large Noether bound

Cziszter, Kálmán; Domokos, Mátyás

doi:10.5802/aif.2868

Groups with large Noether bound
[Les groupes pour lesquels la borne de Noether est grande]

Cziszter, Kálmán ¹ ; Domokos, Mátyás 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, Tome 64 (2014) no. 3, pp. 909-944.

Résumé
Abstract

Nous classifions les groupes finis ayant un invariant polynômial indécomposable de degré au moins la moitié de l’ordre du groupe. Il est démontré qu’en exceptant quatre groupes particuliers, ce sont exactement les groupes avec un sous-groupe cyclique d’indice au plus deux.

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.

MR Zbl

DOI : 10.5802/aif.2868

Classification : 13A50, 11B50
Keywords: Noether bound, polynomial invariant, zero-sum sequence
Mot clés : La borne de Noether, invariants polynômiaux, suites de somme nulle

Affiliations des auteurs :

Cziszter, Kálmán ¹ ; Domokos, Mátyás ²

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Cziszter, Kálmán; Domokos, Mátyás. Groups with large Noether bound. Annales de l'Institut Fourier, Tome 64 (2014) no. 3, pp. 909-944. doi : 10.5802/aif.2868. http://www.numdam.org/articles/10.5802/aif.2868/

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