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arXiv · 0711.5014

On universally stable elements

I. J. Leary·B. Schuster·N. Yagita
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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.

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I. J. Leary, B. Schuster, N. Yagita. 2007-11-30. On universally stable elements. https://arxiv.org/abs/0711.5014

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