Suborbits of a point stabilizer in the orthogonal group on the last subconstituent of orthogonal dual polar graphs

Fenggao Li, Kaishun Wang, Jun guo, Jianmin Ma

Published 2011-05-21Version 1

As one of the serial papers on suborbits of point stabilizers in classical groups on the last subconstituent of dual polar graphs, the corresponding problem for orthogonal dual polar graphs over a finite field of odd characteristic is discussed in this paper. We determine all the suborbits of a point-stabilizer in the orthogonal group on the last subconstituent, and calculate the length of each suborbit. Moreover, we discuss the quasi-strongly regular graphs and the association schemes based on the last subconstituent, respectively.