Multiplicative and Exponential Variations of Orthomorphisms of Cyclic Groups

Evan Chen

An orthomorphism is a permutation $\ddot{I}ƒ$ of $\{1,\dots ,n-1\}$ for which $x+\ddot{I}ƒ(x)\mathrm{mod}n$ is also a permutation on $\{1,\dots ,n-1\}$. Eberhard, Manners, Mrazović, showed that t…