Lilu Zhao

collaborators

2 papers

math.CO2026

Products of Two Integers Avoiding Perfect Powers

Quan-Hui Yang, Lilu Zhao

For integers $d \geq 3$ , let $F_{2, d} (n)$ be the largest size of a subset of $[n]$ containing no two distinct elements whose product is a perfect $d$ -th power, and let $f_{2, d} (n)$ …

math.CO2026

Exterior Algebra and an Extension of the Feng-Sun-Xiang Theorem in $p$ -groups

Zhi-Wei Sun, Lilu Zhao

Let $G$ be a finite group with $∣ G ∣ = p^{m}$ where $p$ is a prime and $m$ is a positive integer. Let $k < p$ . Let $a_{1}, \dots, a_{k} \in G$ be pairwise distinct and let $b_{1}, \dots, b_{k} \in G$ …

Products of Two Integers Avoiding Perfect Powers

Exterior Algebra and an Extension of the Feng-Sun-Xiang Theorem in p-groups

Exterior Algebra and an Extension of the Feng-Sun-Xiang Theorem in $p$ -groups