Inverting Integers in Tambara Functors

Ben Spitz

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arXiv · 2510.25891

Inverting Integers in Tambara Functors

Ben Spitz

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Abstract

Let $G$ be a finite group, and $k$ an integer. In this note, we show that for any $G$-Tambara functor $T$ and any subgroups $H_1, H_2 \leq G$, $k$ is a unit in $T(G/H_1)$ if and only if $k$ is a unit in $T(G/H_2)$. In other words, one may speak unambiguously of the localization $T[1/k]$. As a consequence, the norm functors $N_H^G$ commute with inverting $k$.

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BibTeX RIS

Ben Spitz. 2025-10-29. Inverting Integers in Tambara Functors. https://arxiv.org/abs/2510.25891

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