特征为2的有限域上伪辛群作用在m维全迷向子空间集上的次轨道

Suborbits of the Finite Pseudo-Symplectic Group of Characteristic Two on theTransitive Set of m-Dimentional Totally Isotropic Subspaces

本文讨论特征为２的有限域上伪辛几何中，在伪辛群Ｐ＿（ｓ２ｖ＋δ）（Ｆ＿ｑ）作用下ｍ维全迷向子空间可迁集的次轨道．并计算出非平凡轨道的个数及次轨道的长．

In this paper,under the actions of the pseudo-symplectic group P_(s2v+δ)(F_q)over afinite field of characteristic two,we study the suborbits of the transitive set of m-dimensionaltotally isotropic subgroups, and calculate the number of non-trival orbits and the length of eachsuborbit.