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On \(2\)-arc-transitive graphs admitting a core-free transitive subgroup

陈俊彦 Junyan Chen


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