• 论文 • 上一篇    下一篇

特征不为2的有限域上酉群的极小生成元集

高有,游宏   

  1. 哈尔滨工业大学数学系,哈尔滨 150001
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:1999-01-15 发布日期:1999-01-15

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): 46-050.

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): 46-050.

SMALL SET OF GENERATORS OF UNITARY GROUPS OVER FINITE FIELDS OF CHARACTERISTIC NOT TWO

You GAO,Hong YOU   

  1. Department of Mathematics, Harbin Institute of Technology, Harbin 150001,P.R.China
  • Received:1900-01-01 Revised:1900-01-01 Online:1999-01-15 Published:1999-01-15
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.
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.
()
[1] 胡建,曹喜望. 自共轭互反多项式的推广[J]. 系统科学与数学, 2020, 40(8): 1507-1516.
[2] 田诗竹,陈媛. 一类幂函数在$\mathbb{F}_{p^n}$上的差分谱[J]. 系统科学与数学, 2017, 37(5): 1351-1367.
[3] 朱喜顺,陈媛,曾祥勇. 几类特殊形式的置换多项式[J]. 系统科学与数学, 2016, 36(8): 1349-1357.
阅读次数
全文


摘要