2 citations · 4 across the 13 of their papers we have counts for
15 papers · 1 filter
Simplicity of the automorphism group of fields with operators
Thomas Blossier, Zoé Chatzidakis, Charlotte Hardouin +1
We adapt a proof of Lascar in order to show the simplicity of the group of automorphisms fixing pointwise all non-generic elements for a class of uncountable models of suitable the…
Measures on perfect e-free PAC fields
Zoé Chatzidakis, Nicholas Ramsey
We construct measures on definable sets in -free perfect PAC fields, as well as on perfect PAC fields whose absolute Galois groups are free pro- of finite rank. We deduce the…
Groups definable in partial differential fields with an automorphism
Ronald F. Bustamante Medina, Zoé Chatzidakis, Samaria Montenegro
In this paper we study groups definable in existentially closed partial differential fields of characteristic 0 with an automorphism which commutes with the derivations. In particu…
A note on the non-existence of prime models of theories of pseudo-finite fields
Zoé Chatzidakis
We show that if a field A is not pseudo-finite, then there is no prime model of the theory of pseudo-finite fields over A. Assuming GCH, we generalise this result to κ-prime models…
Remarks around the non-existence of difference-closure
Zoé Chatzidakis
This paper shows that in general, difference fields do not have a difference closure. However, we introduce a stronger notion of closure (kappa-closure), and show that every algebr…
Amalgamation of types in pseudo-algebraically closed fields and applications
Zoe Chatzidakis
This paper studies unbounded PAC fields and shows an amalgamation result for types over algebraically closed sets. It discusses various applications, for instance that omega-free P…