| 特征不为 2 的有限域上酉群的极小生成元集 |
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| 引用本文： | 高有,游宏. 特征不为 2 的有限域上酉群的极小生成元集[J]. 系统科学与数学, 1999, 19(1): 046-050 |
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| 作者姓名： | 高有 游宏 |
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| 作者单位： | 哈尔滨工业大学数学系!哈尔滨，150001，哈尔滨工业大学数学系!哈尔滨，150001 |
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| 摘 要： | 设K=Fq2为含有q2个元素的有限域，q为奇素数的幂，*：a→a*=aq是Fq2的一个二阶自同构．本文用几何方法证明了除K为F32而n=4的情形外，Fq2上的酉群Un（V）可由2个元素生成．
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| 关 键 词： | 酉群 有限域 生成集 |
SMALL SET OF GENERATORS OF UNITARY GROUPS OVER FINITE FIELDS OF CHARACTERISTIC NOT TWO |
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| You GAO,Hong YOU. SMALL SET OF GENERATORS OF UNITARY GROUPS OVER FINITE FIELDS OF CHARACTERISTIC NOT TWO[J]. Journal of Systems Science and Mathematical Sciences, 1999, 19(1): 046-050 |
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| Authors: | You GAO Hong YOU |
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| Affiliation: | Department of Mathematics, Harbin Institute of Technology, Harbin 150001,P.R.China |
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| Abstract: | Let K=F_(q~2) be a finite field with q~2 elements where q is a power of odd prime, and *: a->a~*=a~q be an automorphism of order 2 for all a implied by F_(q~2). In this paper, we show by geometric method that the unitary groups U_n(V) over F_(q~2) may be generated by two elements, except that K is F_(3~2) and n=4. |
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| Keywords: | Finite field of characteristic not 2 unitary groups element of generators |
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