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Inclusions of innately transitive groups into wreath products in product action with applications to $2$-arc-transitive graphs
| Content Provider | Semantic Scholar |
|---|---|
| Author | Li, Cai-Heng Praeger, Cheryl E. Schneider, Csaba |
| Copyright Year | 2015 |
| Abstract | We study $(G,2)$-arc-transitive graphs for innately transitive permutation groups $G$ such that $G$ can be embedded into a wreath product $\sym\Gamma\wr\sy\ell$ acting in product action on $\Gamma^\ell$. We find two such connected graphs: the first is Sylvester's double six graph with 36 vertices, while the second is a graph with $120^2$ vertices whose automorphism group is $\aut\sp 44$. We prove that under certain conditions no more such graphs exist. |
| Starting Page | 2683 |
| Ending Page | 2700 |
| Page Count | 18 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.jpaa.2015.12.005 |
| Alternate Webpage(s) | http://lib-arxiv-008.serverfarm.cornell.edu/pdf/1507.01049.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/1507.01049v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.jpaa.2015.12.005 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
