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- W2972655131 abstract "Let $A$ be an abelian group such that $mathrm{Hom}(G,A)$ is finite for all finite groups $G$, and let $mathbb{K}$ be a field of characteristic zero containing roots of unity of all orders equal to finite element orders in $A$. In this paper we prove foundational properties of the $A$-fibered Burnside ring functor $B_{mathbb{K}}^A$ as an $A$-fibered biset functor over $mathbb{K}$. This includes the determination of the lattice of subfunctors of $B_{mathbb{K}}^A$ and the determination of the composition factors of $B_{mathbb{K}}^A$. The results of the paper extend results of Coskun and Yilmaz for the $A$-fibered Burnside ring functor restricted to $p$-groups and results of Bouc in the case that $A$ is trivial, i.e., the case of the Burnside ring functor over fields of characteristic zero." @default.
- W2972655131 created "2019-09-19" @default.
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- W2972655131 date "2019-09-14" @default.
- W2972655131 modified "2023-09-27" @default.
- W2972655131 title "The $A$-fibered Burnside ring as $A$-fibered biset functor in characteristic zero" @default.
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