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arXiv · 2605.10280

The Galois theory of $G$-spectra and the Burnside ring

Niko Naumann·Luca Pol·Maxime Ramzi
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Abstract

We prove that the Galois groupoid of the category of $G$-spectra for a finite group $G$ is algebraic, i.e. equivalent to the \'etale fundamental groupoid of the Burnside ring of $G$. We implement an algorithm that computes the latter from the table of marks of $G$, and provide numerous examples.

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Niko Naumann, Luca Pol, Maxime Ramzi. 2026-05-11. The Galois theory of $G$-spectra and the Burnside ring. https://arxiv.org/abs/2605.10280

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