南京师大学报（自然科学版）2011，Vol.34Issue(4)：17-20,4.
M(..o)bius变换中的n阶循环群判据
n-Order Circle Group Criterion of M(..o)bius Transformation
摘要
Abstract
Translate the distinguish problem of n-order cyclic group in Mobius transformation ( MT) into the corresponding problem of n-power of square matrix 2×2. Educe two constracts A and 5 as well as two number seguences △An ,δn related to Δ ,δ. Use mathematical induction to prove the formulas that all the 4 elements after n-power of arbitrary square matrix 2 ×2 can be represented by Δn,and the recursion formulas of Δn. Finaly, the criterion is obtained that MT becomes a n-order cyclic mapping, and its application is given.关键词
循环群/M(..o)bius变换/方阵/判据Key words
circle group/Mobius transformation/square matrix/criterion分类
数理科学引用本文复制引用
甘欣荣,钟寿国..M(..o)bius变换中的n阶循环群判据[J].南京师大学报（自然科学版）,2011,34(4):17-20,4.基金项目
湖北省教育厅科研计划重点项目(D20111110). （D20111110）
