摘要
讨论圆周上均匀分布的 2 n个点的配对图形在置换下保持不变的条件 ,给出配对图形的置换群中 1 -圈存在的充要条件 ,计算一个置换的 1 -圈数量 ;通过讨论平面旋转群和二面体群的特点 ,根据 Burnside定理给出圆中弦安排数的计算公式 .
Discussed the necessary and sufficient condition of permutation which have 1 loop on pattern of chords in a circle, the numbers of 1 loop of a permutation were determined.Discussed the characteristic of rotation group and dihedral group. The formula of counting numbers of scheme of chords in a circle was given.
出处
《北京工商大学学报（自然科学版）》
CAS
2001年第3期51-56,共6页
Journal of Beijing Technology and Business University:Natural Science Edition
