Barker, Laurence2016-02-082016-02-0820080021-8693http://hdl.handle.net/11693/23134Rhetorical biset functors can be defined for any family of finite groups that is closed under subquotients up to isomorphism. The rhetorical p-biset functors almost coincide with the rational p-biset functors. We show that, over a field with characteristic zero, the rhetorical biset functors are semisimple and, furthermore, they admit a character theory involving primitive characters of automorphism groups of cyclic groups.EnglishBiset functorBurnside ringPrimitive characterRepresentation ringArticle10.1016/j.jalgebra.2007.12.0181090-266X