| 特征为2的有限域上正交几何中对偶子空间的维数及其类型 |
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| 引用本文： | 李凤高,霍元极.特征为2的有限域上正交几何中对偶子空间的维数及其类型[J].河北北方学院学报(社会科学版),1995(5). |
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| 作者姓名： | 李凤高 霍元极 |
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| 作者单位： | 张家口师范专科学校数学系 张家口075028 |
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| 摘 要： | 设F_q是一个q元有限域,其中q是2的一个方幂。用F_q~((n))表示F_q上的n维正交空间。本文计算了F_q~((n))中任一个子空间的对偶子空间的维数,并确定了这种子空间的类型。
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| 关 键 词： | 合同 正交群 正交空间 子空间的类型 |
Dimensions and Types of Dual Subspaces in Orthogonal Geometry over Finite Fields of Even Characteristic |
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| Li Fenggao,and,Huo Yuanji.Dimensions and Types of Dual Subspaces in Orthogonal Geometry over Finite Fields of Even Characteristic[J].Journal of Hebei North University,1995(5). |
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| Authors: | Li Fenggao and Huo Yuanji |
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| Abstract: | Let Fq be the finite field with q elements,where q is a power of 2. Denote by Fq(n) the n-dimensional orthogonal space over F,. In this paper,the dimensions of dual subspaces of subspaces in Fq(n) are computed and their types are determined. |
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| Keywords: | congruence orthogonal group orthogonal space type of a subspce |
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