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arXiv · 2508.08340

The Levelwise Finite Generation of Free Tambara Functors

Emory Sun
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Abstract

We prove the levelwise finite generation of free polynomial $G$-Tambara functors when $G$ is a finite Dedekind group. In the process, we establish the permanence of various finiteness conditions under box products and norms $n_H^G$ of Tambara functors, including a weak Hilbert Basis Theorem.

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Emory Sun. 2025-08-11. The Levelwise Finite Generation of Free Tambara Functors. https://arxiv.org/abs/2508.08340

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