1 citations · 2 across the 6 of their papers we have counts for
8 papers
Minimal and intrinsic topologies on monoids of elementary embeddings
J. de la Nuez González, Zaniar Ghadernezhad, Paolo Marimon +1
To every -categorical structure one can associate two spaces of symmetries which determine the structure up to first-order bi-interpretability: the topological g…
Group topologies on automorphism groups of homogeneous structures
Zaniar Ghadernezhad, Javier de la Nuez González
We classify all group topologies coarser than the topology of stabilizers of finite sets in the case of automorphism groups of countable free-homogeneous structures, Urysohn space…
Convex Ramsey matrices and non-amenability of automophism groups of generic structures
Omid Etesami, Zaniar Ghadernezhad
In this paper we prove that the automorphism groups of certain countable generic structures are not amenable. For doing that, we first prove the existence of particular matrices th…
The small index property for homogeneous models in AECs
Zaniar Ghadernezhad, Andrés Villaveces
We prove a version of a small index property theorem for strong amalgamation classes. Our result builds on an earlier theorem by Lascar and Shelah (in their case, for saturated mod…
The small index property of automorphism groups of ab-initio generic structures
Zaniar Ghadernezhad
Suppose is a countable ab-initio (uncollapsed) generic structure which is obtained from a pre-dimension function with rational coefficients. We show that if is a subgroup o…
Automorphism Groups of Generic Structures: Extreme Amenability and Amenability
Zaniar Ghadernezhad, Hamed Khalilian, Massoud Pourmahdian
We investigate correspondences between extreme amenability and amenability of automorphism groups of Fraïssé-Hrushovski generic structures that are obtained from smooth classes, an…
Simplicity of the automorphism groups of some Hrushovski constructions
David M. Evans, Zaniar Ghadernezhad, Katrin Tent
We show that the automorphism groups of certain countable structures obtained using the Hrushovski amalgamation method are simple groups. The structures we consider are the 'uncoll…
New simple groups with a BN-pair
Zaniar Ghadernezhad, Katrin Tent
We show that there are simple groups with a spherical BN-pair of rank 2 which are non-Moufang and hence not of algebraic origin.