Browsing by Subject "Secondary 20C15"

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    Tornehave morphisms I: resurrecting the virtual permutation sets annihilated by linearization
    (Taylor & Francis, 2011) Barker, L.
    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.
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    Tornehave morphisms III: the reduced Tornehave morphism and the Burnside unit functor
    (Elsevier, 2016) Barker, L.
    We shall show that a morphism anticipated by Tornehave induces (and helps to explain) Bouc's isomorphism relating a quotient of the Burnside unit functor (measuring a difference between real and rational representations of finite 2-groups) and a quotient of the kernel of linearization (measuring a difference between rhetorical and rational 2-biset functors). © 2015 Elsevier Inc.