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理学院2019-2020学年秋季第六周学术报告(2)


报告题目:Local actions in arc-transitive graphs


报告学者:Marston Conder
 

报告者单位奥克兰大学杰出教授,新西兰科学院院士


报告时间2019年10月14日上午9:00-10:00


报告地点学生活动中心10层1005


摘要:At the Groups St Andrews conference at Birmingham (UK) in August 2017, Pierre-Emmanuel Caprace asked if there exists a 2-transitive permutation group $P$ such that only finitely many simple groups act arc-transitively on a symmetric graph $X$ with local action $P$ (of the stabiliser of a vertex $v$ on the neighbourhood $X(v)$ of $v$). I will give some evidence to suggest that the answer is `No', even when `2-transitive' is replaced by `transitive'.  Then by way of illustration, I will answer a follow-up question by showing that all but finitely many alternating groups have such an action on a 6-valent symmetric graph with vertex-stabiliser $A_6$. 



主办教师:冯衍全

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