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The Scale of ()-closed Groups Acting On Trees
Marcus Chijoff, Michal Ferov, Stephan Tornier
Reid--Smith parametrised ()-closed groups acting on trees using graph-based combinatorial structures known as local action diagrams. Properties of the acting (topological) group…
-Hereditarily conjugacy separable groups and wreath products
Alex Bishop, Alexander Bishop, Michal Ferov +1
We provide a necessary and sufficient condition for the restricted wreath product to be -hereditarily conjugacy separable where is an extension-…
On the non-discreteness of automorphism groups of Cayley graphs of Coxeter groups
Federico Berlai, Michal Ferov
In this work we characterise Cayley graphs of Coxeter groups with respect to the standard generating set that admit uncountable vertex stabilisers. As a corollary, we fully identif…
Survey on effective separability
Jonas Deré, Michal Ferov, Mark Pengitore
Separability for groups refers to the question which subsets of a group can be detected in its finite quotients. Classically, separability is studied in terms of which classes have…
Separating cyclic subgroups in graph products of groups
Federico Berlai, Michal Ferov
We prove that the property of being cyclic subgroup separable, that is having all cyclic subgroups closed in the profinite topology, is preserved under forming graph products. Furt…