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.
引文
[1] Gary L. Mullen, Daniel Panario. Handbook of Finite Field[M]. Boca Raton:Taylor&Francis Group, 2013.
[2]李超,谢端强,冯良贵,戴清平.代数学基础[M].长沙:国防科技大学出版社,2011.
[3]冯克勤,廖群英.有限域及其应用[M].大连:大连理工大学出版社,2011.
[4]冯克勤,李尚志,查建国,章璞.近世代数引论[M].合肥:中国科技大学出版社,2002.