Romero, N.2016-02-082016-02-082013218693http://hdl.handle.net/11693/20876This note has two purposes: First, to present a counterexample to a conjecture parametrizing the simple modules over Green biset functors, appearing in an author's previous article. This parametrization fails for the monomial Burnside ring over a cyclic group of order four. Second, to classify the simple modules for the monomial Burnside ring over a group of prime order, for which the above-mentioned parametrization holds. © 2013 Elsevier Inc.EnglishFibred biset functorsGreen biset functorsArticle10.1016/j.jalgebra.2013.03.036