有限域乘法群结构定理及其拓广  

The Structure Theorem of Multiplicative Group over Finite Field and Its Extension

作　　者：海昕 丁吉超[2] 屈龙江[1] HAI Xin;DING Ji-chao;QU Long-jiang(College of Liberal Arts and Sciences,National University of Defense Technology,Changsha 410073,China;Center of Education Evaluation,National University of Defense Technology,Changsha 410073,China)

机构地区：[1]国防科技大学文理学院,湖南长沙410073 [2]国防科技大学教学考评中心,湖南长沙410073

出　　处：《数学的实践与认识》2019年第3期264-266,共3页Mathematics in Practice and Theory

摘　　要：有限域乘法群结构定理在理论研究及工程应用上均具有重要意义.主要介绍了有限域乘法群结构定理的三种证明方法,并做了一些拓广.The structure theorem of multiplicative group over finite field is of great significance for theoretical research and engineering application.In this paper,three kinds of proof methods of this theorem are presented.And some extensions are further discussed.

关 键 词：有限域 乘法群 循环群 

分 类 号：O152[理学—数学]