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.
|Digital Object Identifier (DOI):||doi:10.1093/qmath/48.4.493|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty of Social and Human Sciences > Mathematical Sciences > Pure Mathematics
|Date Deposited:||18 Oct 2011 13:09|
|Last Modified:||27 Mar 2014 19:46|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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