%0 Journal Article
%A Chocano Feito, Pedro José
%A Alonso Morón, Manuel
%A Romero Ruiz Del Portal, Francisco
%T On some topological realizations of groups and homomorphisms
%D 2022
%@ 0002-9947
%U https://hdl.handle.net/20.500.14352/71700
%X Given a homomorphism of groups f : G → H, we construct a topological space Xf such that its group of homeomorphisms Aut(Xf) is isomorphic to G, its group of homotopy classes of self-homotopy equivalences E(Xf) is isomorphic to H and the natural map between Aut(Xf) and E(Xf) is f. In addition, we consider realization problems involving homology groups, homotopy groups and groups of automorphisms.
%~