Author

Yongke Qu

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Preprint Oct 2026

The Erd\H{o}s--Ginzburg--Ziv theorem for finite groups

Let $G$ be a finite group, and let $p$ be the smallest prime divisor of $|G|$. The Gao constant $\mathsf{E}(G)$ is the least integer $\ell$ such that every sequence over $G$ of length $\ell$ contains a subsequence of length $|G|$ whose terms can be ordered to have product equal to the identity. In 1961, Erd\H{o}s, Ginz...

Yong-Ke Qu · 0 citations

Preprint Aug 2026

The Gao-Zhuang conjecture for the Heisenberg group over $\mathbb{F}_p$

Let $G$ be a finite nonabelian group. The small Davenport constant $\mathsf d(G)$ of $G$ is the largest integer $\ell$ such that there exists a product-one free sequence over $G$ of length $\ell$, while the Gao constant $E(G)$ of $G$ is the least integer $\ell$ such that every sequence over $G$ of length at least $\ell...

Yong-Ke Qu, Guoqing Wang · 0 citations