Abstract
For any finite group G, we define a bivariant functor from the Dress category of finite G-sets to the conjugation biset category, whose objects are subgroups of G, and whose morphisms are generated by certain bifree bisets. Any additive functor from the conjugation biset category to abelian groups yields a Mackey functor by composition. We characterize the Mackey functors which arise in this way.
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Research partially supported by NSERC Discovery Grant A4000 and the NSF. The authors would also like to thank the SFB 478, Münster, for its hospitality and support in June 2008.
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Hambleton, I., Taylor, L.R. & Williams, E.B. Mackey functors and bisets. Geom Dedicata 148, 157–174 (2010). https://doi.org/10.1007/s10711-010-9467-x
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DOI: https://doi.org/10.1007/s10711-010-9467-x