Solving xz=y^2 in certain subsets of finite groups

Suppose that G is a finite group and A € G has no non-trivial solutions to xz = y2. We shall show that |A| = |G|/(loglog |G|)Ω(1).

Bibliografske podrobnosti
Glavni avtor: Sanders, T
Format: Journal article
Izdano: Oxford University Press 2017
Opis
Izvleček:Suppose that G is a finite group and A € G has no non-trivial solutions to xz = y2. We shall show that |A| = |G|/(loglog |G|)Ω(1).