一类非本原传递置换群的块

On System of Blocks of a Class of Non-primitive Transitive Permutation Groups

首先在三维线性空间中,考虑一般线性群在全体非零向量构成的集合Ω上的一个具体的传递非本原作用;然后算出此作用的块,并确定块稳定子G_({Δ})在包含Δ的块系上的轨道.

In this paper,we study the general linear group acting on the setΩwhich contains all non-zero vectors in 3-dimensional linear spaces.We calculate the blocks of this action,then determine the orbits of G_({Δ}) on system of blocks containingΔ.