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).

Dettagli Bibliografici
Autore principale: Sanders, T
Natura: Journal article
Pubblicazione: Oxford University Press 2017
Descrizione
Riassunto: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).