论文标题
只有小规范轨道的有限透射排列组
Finite transitive permutation groups with only small normaliser orbits
论文作者
论文摘要
我们研究有限的透明置换组$ g \ leqslant \ peripatorname {sym}（ω）$，使得在$ g $ $ g $的$ g $ in $ \ operatatorNamame {sym} {sym}（ω）$ in $ g $ of $ g $上的所有轨道都具有某种常数的尺寸。由于第一作者，我们的结果扩展了最新的结果，在有限的抽象组$ g $上，$ g $上的自然动作的所有轨道$ \ operatatorName {aut}（aut}（a aut}（g）$都有一个常数的范围。
We study finite transitive permutation groups $G\leqslant\operatorname{Sym}(Ω)$ such that all orbits of the conjugation action on $G$ of the normaliser of $G$ in $\operatorname{Sym}(Ω)$ have size bounded by some constant. Our results extend recent results, due to the first author, on finite abstract groups $G$ such that all orbits of the natural action of the automorphism group $\operatorname{Aut}(G)$ on $G$ have size bounded by some constant.
