Barker, L.2016-02-082016-02-0820110092-7872http://hdl.handle.net/11693/22066Tom Dieck introduced a commutative triangle whereby the exponential morphism from the Burnside functor to the unit functor is factorized through the real representation functor. Tornehave introduced a p-adic variant of the exponential morphism. His construction involves real representations that are not well defined up to isomorphism. To obtain a well defined commutative triangle, we introduce the orientation functor, a quotient of the real representation functor. © Taylor & Francis Group, LLC.EnglishBurnside functorOrientation functorUnit functorZombie modulePrimary 19A22Secondary 20C15Tornehave morphisms I: resurrecting the virtual permutation sets annihilated by linearizationArticle10.1080/009278709035718551532-4125