Sharply 2-transitive groups of finite Morley rank - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2019

Sharply 2-transitive groups of finite Morley rank

Tuna Altinel
  • Fonction : Auteur
  • PersonId : 925813
Ayse Berkman
  • Fonction : Auteur
  • PersonId : 1039563
Frank Olaf Wagner

Résumé

A sharply 2-transitive permutation group of finite Morley rank and characteristic 2 splits; a split sharply 2-transitive permutation group of finite Morley rank and characteristic different from 2 is the group of affine transformations of an algebraically closed field. In particular, a sharply 2-transitive permutation group of finite Morley rank of characteristic 3 is the group of affine transformations of an algebraically closed field of characteristic 3. Without any assumption on Morley rank, a sharply 2-transitive permutation group of characteristic 0 splits if its point stabilizers are virtually abelian.
Fichier principal
Vignette du fichier
2transitive.pdf (134.41 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01935537 , version 1 (26-11-2018)
hal-01935537 , version 2 (20-05-2019)
hal-01935537 , version 3 (19-03-2024)

Identifiants

Citer

Tuna Altinel, Ayse Berkman, Frank Olaf Wagner. Sharply 2-transitive groups of finite Morley rank. 2019. ⟨hal-01935537v2⟩

Collections

ICJ-AGL
185 Consultations
280 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More