Regular automorphisms of periodic $p^{\prime }$-groups need not be splitting

V. S. Atabekyan, V. S. Atabekyn

For a fixed prime $p$, a group is called a $p^{\prime }$-group if the orders of all its elements are coprime to $p$. It is well known that in a finite $p^{\prime }$-group an automorphism of order $p…