Frobenius groups of automorphisms and their fixed points

Evgenii I. Khukhro, Natalia Yu. Makarenko, Pavel Shumyatsky

Suppose that a finite group $G$ admits a Frobenius group of automorphisms $FH$ with kernel $F$ and complement $H$ such that the fixed-point subgroup of $F$ is trivial: $C_G(F)=1$.…