可分解为相同长度轮换乘积的完全映射

Complete Mappings Decomposable into Disjoint Cycles Having the Same Length

摘要: 一个完全映射叫作ｋ完全映射，如果它可分解为具有相同长度ｋ的互不相交的轮换的乘积，对任意奇数阶的阿贝尔群Ｇ与│Ｇ│的任意正因子ｋ，都存在ｋ完全映射，对于二面体群与双循环群，还讨论了ｋ完全映射的存在性。

Abstract: A complete mapping is called a k=complete mapping if it can be decomposed into disjoint cycleS of length k.For any Abelian group G of odd order and a divisor k of | G|,there exist k-complete mappings.For dicyclic and dihedral groups,the existence of k-complete mappings is dicussed.