Suborbits of a point stabilizer in the orthogonal group on the last   subconstituent of orthogonal dual polar graphs
  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. 
Fenggao Li, Kaishun Wang, Jun guo and Jianmin Ma
math.CO