Ivan Shishkin, Rye (1878)

Problems/Group

Automorphismes d’automorphismes d’automorphismes...

by Nugget·
57
Difficulty scaleÉchelle de difficulté

This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

  1. 1–10First steps / middle schoolPremiers pas / collège
  2. 11–25Beginner / high schoolDébutant / lycée
  3. 26–50Intermediate / undergraduateIntermédiaire / licence
  4. 51–70Advanced / graduateAvancé / master
  5. 71–90Expert / specializedExpert / spécialisé
  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
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ReviewedReviewed by Ancient Tree
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Français
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This problem was submitted to “An infinity of objects”.

Showing the Français version because no English translation exists yet. Add that translation.

On considère une suite infinie de groupes finis vérifiant Gn+1=Aut⁡(Gn)G_{n+1}=\operatorname{Aut}(G_{n}).

Est-il possible que ∣Gn∣|G_{n}| tende vers l’infini ?

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