COMMUNICATIONS IN ALGEBRA, cilt.43, ss.1898-1902, 2015 (SCI-Expanded)
We call the action of an automorphism of a finite group G a Hughes type action if it is described by conditions on the orders of elements of G-G. In the present paper we study the structure of finite group G admitting an automorphism of prime order p so that the orders of elements in G-G are not divisible by p(2).