Permutations Destroying Arithmetic Progressions in Finite Cyclic Groups
Permutations Destroying Arithmetic Progressions in Finite Cyclic Groups
A permutation $\pi$ of an abelian group $G$ is said to destroy arithmetic progressions (APs) if, whenever $(a, \, b, \, c)$ is a non-trivial 3-term AP in $G$, that is $c-b=b-a$ and $a, \, b, \, c$ are not all equal, then $(\pi(a), \, \pi(b), \pi(c))$ is not an …