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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.25822 |
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| _version_ | 1866914514546458624 |
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| author | Dvir, Zeev |
| author_facet | Dvir, Zeev |
| contents | In this note we prove an upper bound on the $\mathbb F_p$-rank of the incidence matrix of points and hyperplanes in $(\mathbb Z/p^k \mathbb Z)^n$, improving a recent bound of Laba and Trainer when $k$ is large. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_25822 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Rank of incidence matrices over integers modulo a prime power Dvir, Zeev Combinatorics In this note we prove an upper bound on the $\mathbb F_p$-rank of the incidence matrix of points and hyperplanes in $(\mathbb Z/p^k \mathbb Z)^n$, improving a recent bound of Laba and Trainer when $k$ is large. |
| title | Rank of incidence matrices over integers modulo a prime power |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2604.25822 |