Published January 1, 2009 | Version v1
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A Tate cohomology sequence for generalized Burnside rings

  • 1. Bogazici Univ, Matemat Bolumu, TR-80815 Istanbul, Turkey
  • 2. Bilkent Univ, Matemat Bolumu, TR-06800 Ankara, Turkey

Description

We generalize the fundamental theorem for Burnside rings to the mark morphism of plus constructions defined by Boltje. The main observation is the following: If D is a restriction functor for a finite group G, then the mark morphism phi : D(+) -> D(+) is the same as the norm map of the Tate cohomology sequence (over conjugation algebra for G) after composing with a suitable isomorphism of D(+). As a consequence, we obtain an exact sequence of Mackey functors

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