郑州大学学报(理学版)2012,Vol.44Issue(3):22-25,4.DOI:10.3969/j.issn/1671-6841.2012.03.007
M变换中的n阶循环群判定
Determing the Cyclic Group of Order n in M(o)bius Transformation
摘要
Abstract
By replacing iterative computation in Mobius transformation (MT) with computation of powers of 2 × 2 square matrix, and by using two constants A and 5 as well as two seguences △n ,δn related to △, S, a formula of the n of a 2 × 2 square matrix was proved in terms of Δn and δn, and a criterion of MT being a cyclic group of order n was given.关键词
M(o)bius变换/方阵/循环映射Key words
Mobius transformation/ square matrix/ cyclic mapping分类
数理科学引用本文复制引用
甘欣荣,钟寿国..M变换中的n阶循环群判定[J].郑州大学学报(理学版),2012,44(3):22-25,4.基金项目
湖北省教育厅科研计划重点项目,编号D20111110. ()