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- W2036701053 abstract "In this paper, I give several characterizations of rational biset functors over p-groups, which are independent of the knowledge of genetic bases for p-groups. I also introduce a construction of new biset functors from known ones, which is similar to the Yoneda construction for representable functors, and to the Dress construction for Mackey functors, and I show that this construction preserves the class of rational p-biset functors. This leads to a characterization of rational p-biset functors as additive functors from a specific quotient category of the biset category to abelian groups. Finally, I give a description of the largest rational quotient of the Burnside p-biset functor: when p is odd, this is simply the functor RQ of rational representations, but when p=2, it is a non-split extension of RQ by a specific uniserial functor, which happens to be closely related to the functor of units of the Burnside ring." @default.
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- W2036701053 date "2008-02-01" @default.
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- W2036701053 title "Rational p-biset functors" @default.
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- W2036701053 doi "https://doi.org/10.1016/j.jalgebra.2007.05.028" @default.
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