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Suborbits of a point-stabilizer in the unitary group on the last subconstituent of Hermitean dual polar graphs |
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| Authors: | Fenggao Li Jun Guo |
| Institution: | a Dept. of Math., Hunan Institute of Science and Technology, Yueyang 414006, China b Sch. Math. Sci. & Lab. Math. Com. Sys., Beijing Normal University, Beijing 100875, China c Math. and Inf. College, Langfang Teachers’ College, Langfang 065000, China d Oxford College of Emory University, Oxford, GA 30054, USA |
| Abstract: | Let Γ be a dual polar graph in a unitary space. It is well-known that a point-stabilizer in the unitary group is transitive on the last subconstituent Λ of Γ. In this paper, we determine all the suborbits of this action, calculate its rank and the length of each suborbit. Note that the induced subgraph on Λ is quasi-strongly regular. As an application of our results, all its parameters are computed. |
| Keywords: | 05B25 05C25 |
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