1 citations · 1 across the 2 of their papers we have counts for
5 papers
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…
CM-trivial structures without the canonical base property
Thomas Blossier, Léo Jimenez
Based on Hrushovski, Palac{í}n and Pillay's example [6], we produce a new structure without the canonical base property, which is interpretable in Baudisch's group. Said structure…
Looking for the lost torus
Thomas Blossier, Amador Martin-Pizarro, Frank Olaf Wagner
We classify the groups definable in the coloured fields obtained by Hrushovski amalgamation. A group definable in the bad green field is isogenous to the quotient of a subgroup of…
On Variants of CM-triviality
Thomas Blossier, Amador Martin-Pizarro, Frank Olaf Wagner
We introduce a generalization of CM-triviality relative to a fixed invariant collection of partial types, in analogy to the Canonical Base Property defined by Pillay, Ziegler and C…
Relative geometries
Thomas Blossier, Amador Martin Pizarro, Frank Olaf Wagner
We start an analysis of geometric properties of a structure relative to a reduct. In particular, we look at definability of groups and fields in this context. In the relatively one…