On universally stable elements

Leary, Ian J., Schuster, B. and Yagita, N. (1997) On universally stable elements. Quarterly Journal of Mathematics, 48, (4), 493-498. (doi:10.1093/qmath/48.4.493).


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We show that certain subrings of the cohomology of a finite p-group P may be realized as the image of the restriction map from a suitable virtually free group containing P as a subgroup. We deduce that the cohomology of P is a finitely generated module for any such subring. Examples include the ring of `universally stable elements' introduced by Evens and Priddy, and rings of invariants such as the mod-2 Dickson algebras.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1093/qmath/48.4.493
ISSNs: 0033-5606
Subjects: Q Science > QA Mathematics
Divisions : Faculty of Social and Human Sciences > Mathematical Sciences > Pure Mathematics
ePrint ID: 199375
Accepted Date and Publication Date:
Date Deposited: 18 Oct 2011 13:09
Last Modified: 31 Mar 2016 13:45
URI: http://eprints.soton.ac.uk/id/eprint/199375

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