Teng Fang

collaborators

2 papers

math.CO2026

Tiling the symmetric group by transpositions

Teng Fang, Binzhou Xia

For nonempty subsets $X$ and $Y$ of a group $G$ , we say that $(X, Y)$ is a tiling of $G$ if every element of $G$ can be uniquely expressed as $x y$ for some $x \in X$ and $y \in Y$ . In…

math.CO2025

Proof of a conjecture of Green and Liebeck on codes in symmetric groups

Teng Fang, Jinbao Li

Let $A$ and $B$ be subsets of a finite group $G$ and $r$ a positive integer. If for every $g \in G$ , there are precisely $r$ pairs $(a, b) \in A \times B$ such that $g = ab$ , then $B$ is…