论文标题

在有限组的虚拟字符环中的琐碎源环的图像上

On the image of the trivial source ring in the ring of virtual characters of a finite group

论文作者

McHugh, John Revere

论文摘要

我们检查了从有限群的琐碎源环到$ p $ - 理性复杂字符的环的典型同态的焦点。我们使用Boltje和Coşkun的纤维纤维函数理论来确定凝胶层的结构。确定该结构的基本工具是Bouc的理性$ p $ -biset函数理论。

We examine the cokernel of the canonical homomorphism from the trivial source ring of a finite group to the ring of $p$-rational complex characters. We use Boltje and Coşkun's theory of fibered biset functors to determine the structure of the cokernel. An essential tool in the determination of this structure is Bouc's theory of rational $p$-biset functors.

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