The Levelwise Finite Generation of Free Tambara Functors
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911245426229248 |
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| author | Sun, Emory |
| author_facet | Sun, Emory |
| contents | We prove the levelwise finite generation of free polynomial $G$-Tambara functors in a collection of cases, most notably when $G$ is a finite Dedekind group or when $G \cong C_p \rtimes C_q$, $p > q$ primes. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08340 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Levelwise Finite Generation of Free Tambara Functors Sun, Emory Group Theory Commutative Algebra Algebraic Topology 19A22 (Primary) We prove the levelwise finite generation of free polynomial $G$-Tambara functors in a collection of cases, most notably when $G$ is a finite Dedekind group or when $G \cong C_p \rtimes C_q$, $p > q$ primes. 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. |
| title | The Levelwise Finite Generation of Free Tambara Functors |
| topic | Group Theory Commutative Algebra Algebraic Topology 19A22 (Primary) |
| url | https://arxiv.org/abs/2508.08340 |