有限域上典型群几何中二次曲面轨道的计数  

Number of Orbits of Quadrics under Classical Groups over Finite Fields

作　　者：祝学理[1] 王兆飞[1] 

机构地区：[1]河北北方学院数学系,河北张家口075000

出　　处：《河北北方学院学报（自然科学版）》2006年第5期1-4,共4页Journal of Hebei North University:Natural Science Edition

摘　　要：分别在有限域上的仿射几何和射影几何中计算了二次曲面在对应的典型群作用下形成的轨道的个数.The number of orbits of quadrics in n-dimensional Affine Space under affine transformations over finite fields was computed. The number of orbits of quadrics in n-dimensional projective Space under projective transformation over finite fields was also computed.

关 键 词：有限域 二次曲面 仿射变换 射影变换 轨道 

分 类 号：O187.1[理学—数学] O151.26[理学—基础数学]