The Existence of Strong Complete Mappings

[摘要] A strong complete mapping of a group $G$ is a bijection $\theta\colon G\to G$ for which both mappings $x\mapsto x\theta(x)$ and $x\mapsto x^{-1}\theta(x)$ are bijections. We characterize finite abelian groups that admit strong complete mappings, thus solv

[学科分类] 离散数学和组合数学