# 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}
}```
• 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