2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166723In this note we present an algorithm for the construction of the unit group of the Burnside ring $Ω(G)$ of a finite group $G$ from a list of representatives of the conjugacy classes of subgroups of G.corrected and slightly extended version of the article published in: Groups St. Andrews 2005. Vol. 1, 230--236, London Math. Soc. Lecture Note Ser., 339, Cambridge Univ. Press, Cambridge, 2007Group TheoryK-Theory and HomologyRepresentation Theory20D30; 19A22text