The influence of Hughes type action
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KünyeErcan, G., & Güloğlu, İ. Ş. (2015). The influence of Hughes type action. Communications in Algebra, 43(5), 1898-1902. http://dx.doi.org/10.1016/10.1080/00927872.2013.879432
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).