The Galois theory of $G$-spectra and the Burnside ring
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866909037463863296 |
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| author | Naumann, Niko Pol, Luca Ramzi, Maxime |
| author_facet | Naumann, Niko Pol, Luca Ramzi, Maxime |
| contents | We prove that the Galois groupoid of the category of $G$-spectra for a finite group $G$ is algebraic, i.e. equivalent to the étale 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_10280 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Galois theory of $G$-spectra and the Burnside ring Naumann, Niko Pol, Luca Ramzi, Maxime Algebraic Topology We prove that the Galois groupoid of the category of $G$-spectra for a finite group $G$ is algebraic, i.e. equivalent to the étale 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. |
| title | The Galois theory of $G$-spectra and the Burnside ring |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2605.10280 |