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- W3143238889 abstract "An interesting fact is that most of the known connected $2$-arc-transitive nonnormal Cayley graphs of small valency on finite simple groups are $(mathrm{A}_{n+1},2)$-arc-transitive Cayley graphs on $mathrm{A}_n$. This motivates the study of $2$-arc-transitive Cayley graphs on $mathrm{A}_n$ for arbitrary valency. In this paper, we characterize the automorphism groups of such graphs. In particular, we show that for a non-complete $(G,2)$-arc-transitive Cayley graph on $mathrm{A}_n$ with $G$ almost simple, the socle of $G$ is either $mathrm{A}_{n+1}$ or $mathrm{A}_{n+2}$. We also construct the first infinite family of $(mathrm{A}_{n+2},2)$-arc-transitive Cayley graphs on $mathrm{A}_n$." @default.
- W3143238889 created "2021-04-13" @default.
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- W3143238889 date "2021-03-26" @default.
- W3143238889 modified "2023-09-24" @default.
- W3143238889 title "2-Arc-transitive Cayley graphs on alternating groups" @default.
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- W3143238889 doi "https://doi.org/10.48550/arxiv.2103.14784" @default.
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