Chocano, Pedro J.2024-10-142024-10-142024-10-11Pedro J. Chocano, Realizing regular representations of finite groups, Journal of Algebra, 2024, ISSN 0021-8693, https://doi.org/10.1016/j.jalgebra.2024.09.0161090-266X (online)0021-8693 (print)https://hdl.handle.net/10115/40177Given a regular representation of a finite group G and a positive integer number n, we construct a (finite) topological space X such that its group of homotopy classes of selfhomotopy equivalences E(X) and its group of homeomorphisms Aut(X) are isomorphic to G, and the action of G on the n-th homology group Hn(X) is the regular representation. We also discuss other representationsengAtribución-NoComercial 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc/4.0/finite topological spacesfinite posetsgroup of automorphismshomology groupsrepresentation of finite groupsinfo:eu-repo/semantics/article10.1016/j.jalgebra.2024.09.016info:eu-repo/semantics/openAccess