Title: On universally stable elements Authors: Ian J. Leary Bj"orn Schuster Nobuaki Yagita Status: Quart. J. Math. Oxford Ser. (2) 48 (1997), 493-498. MR 99b:2008 Abstract: We show that certain subrings of the cohomology of a finite p-group P may be realised as the images of restriction from suitable virtually free groups. We deduce that the cohomology of P is a finite module for any such subring. Examples include the ring of 'universally stable elements' defined by Evens and Priddy, and rings of invariants such as the mod-2 Dickson algebras.