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      Tornehave morphisms III: the reduced Tornehave morphism and the Burnside unit functor

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      Author
      Barker, L.
      Date
      2016
      Source Title
      Journal of Algebra
      Print ISSN
      1090-266X
      Electronic ISSN
      0021-8693
      Publisher
      Elsevier
      Volume
      446
      Pages
      19 - 33
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      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.
      Keywords
      Burnside ring
      Exponential morphism
      Primary 19A22
      Rational biset functor
      Secondary 20C15
      Permalink
      http://hdl.handle.net/11693/21925
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.jalgebra.2015.09.001
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