Tornehave morphisms I: resurrecting the virtual permutation sets annihilated by linearization
Communications in Algebra
Taylor & Francis
355 - 395
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Tom 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.