English

On universally stable elements

Group Theory 2007-12-03 v1 Algebraic Topology

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.

Keywords

Cite

@article{arxiv.0711.5014,
  title  = {On universally stable elements},
  author = {I. J. Leary and B. Schuster and N. Yagita},
  journal= {arXiv preprint arXiv:0711.5014},
  year   = {2007}
}
R2 v1 2026-06-21T09:49:12.944Z