Rank of incidence matrices over integers modulo a prime power

Zeev Dvir

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arXiv · 2604.25822

Rank of incidence matrices over integers modulo a prime power

Zeev Dvir

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Abstract

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.

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Zeev Dvir. 2026-04-28. Rank of incidence matrices over integers modulo a prime power. https://arxiv.org/abs/2604.25822

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