# 群与图讨论班 Seminars on Groups and Graphs

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# On $$2$$-arc-transitive graphs admitting a core-free transitive subgroup

## 陈俊彦 Junyan Chen

SUSTech

Time: 16:00-18:00 (GMT+8), Monday September 12th, 2022
Location: Tencent Meeting

Abstract: Let $$\Gamma$$ be a $$(G,2)$$-arc-transitive graph where $$G$$ is almost simple. If $$G$$ contains a core-free subgroup $$H$$ which is transitive on $$V(\Gamma)$$ and either $$H$$ or $$G_α$$ has at least two non-solvable composition factors, then $$\Gamma$$ is either a complete graph or one of the known two bipartite graphs up to isomorphism.

Host: 黄弘毅 Hong Yi Huang