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2016-07-28 - Colloque/Présentation - communication orale - Anglais - 42 page(s)

Point Françoise , "Alternatives for pseudofinite groups" in Model theory of finite and pseudo finite structures, Leeds, Grande-Bretagne, 2016

  • Codes CREF : Algèbre - théorie des anneaux - théorie des corps (DI1147), Logique mathématique (DI1170)
  • Unités de recherche UMONS : Logique mathématique (S838)
  • Instituts UMONS : Institut de Recherche sur les Systèmes Complexes (Complexys)
  • Centres UMONS : Algèbre, Géométrie et Interactions fondamentales (AGIF)

Abstract(s) :

(Anglais) We investigate alternatives for pseudofinite groups of the same character as the Tits alternative for linear groups. First, we will recall various notions of approximability of a group by a class of finite groups and definability results in the class of pseudofinite groups. Then using former results of S. Black and G. Traustason, we derive structural consequences for pseudofinite groups that do not contain a free group, respectively a free monoid, on two generators. This is a joint work with A. Ould Houcine.