Pólya计数定理的全方位推广  

EXTENSION OF PoLYA ENUMERATION THEOREM IN ALL DIRECTIONS

作　　者：黄番华[1] 

机构地区：[1]华南师范大学数学系,广东广州510631

出　　处：《华南师范大学学报（自然科学版）》2001年第3期55-62,共8页Journal of South China Normal University(Natural Science Edition)

摘　　要：将一个集合代之以若干个不交子集之和,并将作用于其上的一个置换群代之以同等个数的置 换群所作成的直积,在重新定义有关概念之后,对P6lya计数定理作了全方位的推广.A Set can be replaced by the sum of several subsets that are not intersect. And a permutation group that acts on the sum, can be replaced by the direct product of several permutation groups. After re-definiting the conceptions that relate to Polya enumeration theorem, this theorem had been extended in all derections.

关 键 词：二重直积映射 二重直积置换群 复合式样 Pólya计数定理 推广 子集和 离散映射 

分 类 号：O157[理学—数学]