The $A$-fibered Burnside ring as $A$-fibered biset functor in characteristic zero.

@article{Boltje2019TheB,
  title={The \$A\$-fibered Burnside ring as \$A\$-fibered biset functor in characteristic zero.},
  author={Robert Boltje and D. Yılmaz},
  journal={arXiv: Representation Theory},
  year={2019}
}
  • Robert Boltje, D. Yılmaz
  • Published 2019
  • Mathematics
  • arXiv: Representation Theory
  • Let $A$ be an abelian group 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… CONTINUE READING

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