4 papers · 1 filter
On the first-order genus of wreath products and their central extensions
Olga Kharlampovich, Alexei Miasnikov, Denis Osin
We prove that groups of the form , where , are regularly bi-interpretable with and therefore are first-order ri…
Finitely presented groups with transcendental spectral radius
Corentin Bodart, Denis Osin
We provide examples of groups with transcendental spectral radius: We first construct finitely presented examples, using links between decidability of the Word Problem and semi-com…
Finitely presented condensed groups
D. Osin
Let denote the space of finitely generated marked groups. For any finitely generated group , we construct a continuous, injective map from the space of subgroup…
Small cancellation and outer automorphisms of Kazhdan groups acting on hyperbolic spaces
I. Chifan, A. Ioana, D. Osin +1
We show that every finite group realizes as the outer automorphism group of an ICC hyperbolic group with Kazhdan property (T). This result complements the well-known theorem of Pau…