An algorithm for the unit group of the Burnside ring of a finite group

Abstract

In this note we present an algorithm for the construction of the unit group of the Burnside ring $\Omega (G)$ 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, 2007