Compositions and parities of complete mappings and of orthomorphisms

Alexander Bors, Qiang Wang

We determine the permutation groups $P_{\mathrm{comp}}({\mathbb{F}}_q),P_{\mathrm{orth}}({\mathbb{F}}_q)\le \mathrm{Sym}({\mathbb{F}}_q)$ generated by the complete mappings, respec…