Cycle Structures of Orthomorphisms Extending Partial Orthomorphisms of Boolean Groups

[摘要] A partial orthomorphism of a group $G$ (with additive notation) is an injection $\pi:S \to G$ for some $S \subseteq G$ such that $\pi(x)-x \not= \pi(y)-y$ for all distinct $x,y \in S$. We refer to $|S|$ as the size of $\pi$, and if $S = G$, then $\pi$ is

[学科分类] 离散数学和组合数学

[关键词] Orthomorphisms;Partial orthomorphisms;Cycle types