Zaniar Ghadernezhad (University of Buckingham)

Algebraic minimality of automorphism groups of countable homogeneous structures

Note location change: Roger Stevens LT23 (8.23)

Permutation groups of a countable set are Hausdorff topological groups with the pointwise convergence topology. A Hausdorff topological group G is minimal if every bijective continuous homomorphism from G to another Hausdorff topological group is a homeomorphism. The Zariski topology is defined in a natural way for any group. However, a permutation group with the Zariski topology is not necessarily a topological group. When the Zariski topology is a topological group then it is minimal. In this talk we investigate the Zariski topology for the automorphism groups of some countable homogeneous structures. This is a joint work with Javier de la Nuez González.