2023-04-142023-04-142020-10-22Flores Díaz, R.J. y Rodríguez, J.L. (2020). On localizations of quasi-simple groups with given countable center. Groups Geometry and Dynamics, 14 (3), 1023-1042. https://doi.org/10.4171/GGD/573.1661-72071661-7215https://hdl.handle.net/11441/144369A group homomorphism i:H→G is a localization of H, if for every homomorphism φ:H→G there exists a unique endomorphism ψ:G→G such that iψ=φ (maps are acting on the right). Göbel and Trlifaj asked in [18, Problem 30.4(4), p. 831] which abelian groups are centers of localizations of simple groups. Approaching this question we show that every countable abelian group is indeed the center of some localization of a quasi-simple group, i.e., a central extension of a simple group. The proof uses Obraztsov and Ol'shanskii's construction of infinite simple groups with a special subgroup lattice and also extensions of results on localizations of finite simple groups by the second author and Scherer, Thévenaz and Viruel.application/pdf19 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.4171/GGD/573