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arXiv · 1812.08831

The functor of complex characters of finite groups

Mehmet Arslan·Olcay Coşkun
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Abstract

We determine the structure of the fibered biset functor sending a finite group $G$ to the complex vector space of complex valued class functions of $G$. Previously, it is studied as a biset functor by Bouc and as a $\mathbb C^\times$-fibered biset functor by Boltje and the second author. In this paper, we complete the study by considering the other choices of the fiber group. As a corollary, we obtain a (previously known) set of composition factors of the biset functor of $p$-permutation modules.

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Mehmet Arslan, Olcay Coşkun. 2018-12-20. The functor of complex characters of finite groups. https://arxiv.org/abs/1812.08831

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