S. Zotova

activity

20242026

collaborators

3 papers

math.CO2026

Large sum-free sets in finite vector spaces II

Christian Reiher, Sofia Zotova

Answering a question of Leo Versteegen, we prove that for $n \geq 3$ every sum-free set $A \subseteq F_{5}^{n}$ with $∣ A ∣ \geq 28 \cdot 5^{n - 3}$ is either contained in the union of t…

math.CO2025

The ErdÅs-Ginzburg-Ziv constant of rank-two-like $p$ -groups

Benjamin Girard, Sofia Zotova

Adapting Reiher's proof of Kemnitz's conjecture, we obtain two refinements of a theorem of Schmid and Zhuang. Our main results provide improved upper bounds for the ErdÅs-Ginzburg…

math.CO2024

Large sum-free sets in finite vector spaces I

Christian Reiher, Sofia Zotova

Let $p$ be a prime number with $p \equiv 2 (mod 3)$ and let $n \geq 1$ be a dimension. It is known that a sum-free subset of $F_{p}^{n}$ can have at most the size $\frac13(p+1)p…

Large sum-free sets in finite vector spaces II

The ErdÅs-Ginzburg-Ziv constant of rank-two-like p-groups

Large sum-free sets in finite vector spaces I

The ErdÅs-Ginzburg-Ziv constant of rank-two-like $p$ -groups