Yilin Xie

collaborators

3 papers

math.GR2025

Fixers and derangements of finite permutation groups

Hong Yi Huang, Cai Heng Li, Yi Lin Xie

Let $G ⩽ Sym (I^c ◯)$ be a finite transitive permutation group with point stabiliser $H$ . We say that a subgroup $K$ of $G$ is a fixer if every element of $K$ has fixed…

math.GR2025

Fixers and stabilizers for Ree groups

Yilin Xie

Let $G$ be a finite permutation group on $I^c ◯,$ a subgroup $K ⩽ G$ is called a fixer if each element in $K$ fixes some element in $I^c ◯ .$ In this paper, we characterize fixers…

math.GR2024

Intersecting subsets in finite permutation groups

CaiHeng Li, Venkata Raghu Tej Pantangi, Shujiao Song +1

Let $G ⩽ Sym (I^c ◯)$ be transitive, and let $S$ be an intersecting subset, namely, the ratio $x y^{- 1}$ of any elements $x, y \in S$ fixes some point. An EKR-type problem…