The Jamneshan-Tao conjecture for finite abelian groups of bounded rank
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910220310020096 |
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| author | Candela, Pablo González-Sánchez, Diego Szegedy, Balázs |
| author_facet | Candela, Pablo González-Sánchez, Diego Szegedy, Balázs |
| contents | We confirm the Jamneshan-Tao conjecture for finite abelian groups of rank at most a fixed integer $R$ (i.e. finite abelian groups generated by at most $R$ elements), by proving an inverse theorem for 1-bounded functions of non-trivial Gowers norm on such groups, concluding that such a function must correlate non-trivially with a nilsequence of bounded complexity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08810 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Jamneshan-Tao conjecture for finite abelian groups of bounded rank Candela, Pablo González-Sánchez, Diego Szegedy, Balázs Group Theory Combinatorics We confirm the Jamneshan-Tao conjecture for finite abelian groups of rank at most a fixed integer $R$ (i.e. finite abelian groups generated by at most $R$ elements), by proving an inverse theorem for 1-bounded functions of non-trivial Gowers norm on such groups, concluding that such a function must correlate non-trivially with a nilsequence of bounded complexity. |
| title | The Jamneshan-Tao conjecture for finite abelian groups of bounded rank |
| topic | Group Theory Combinatorics |
| url | https://arxiv.org/abs/2601.08810 |