【摘要】 设q是q个元素的有限域,qn+l是Fq上n+l维行向量空间,Gn+l,n是n+l级奇异典型群之一.qn+l在Gn+l,n上的作用下导出了它在qn+l的子空间集合上的作用,因而qn+l在Gn+l,n作用下划分成一些轨道Mn+l,n.采用矩阵初等行变换的方法,分别给出奇异辛群,奇异酉群作用下子空间轨道Mn+l,n的长度.更多还原

【Abstract】 Let q be a finite field of q elements,n+lq be n-dimensional row vector space over q,and Gn+l,n be one of the classical groups.n+lq under the action of Gn+l,n introduce the action the set of subspaces of n+lq,and this set n+lq be partitioned into any orbits Mn+l,n.Using methods of elmentary transformations in matries the length of Mn+l,n are given.更多还原