On universally stable elements
On universally stable elements
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.
493-498
Leary, Ian J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Schuster, B.
86c532df-7d12-4c57-8277-64398d847ac4
Yagita, N.
a1d7c700-2c41-45d6-8da4-41ee01eae6e0
1997
Leary, Ian J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Schuster, B.
86c532df-7d12-4c57-8277-64398d847ac4
Yagita, N.
a1d7c700-2c41-45d6-8da4-41ee01eae6e0
Leary, Ian J., Schuster, B. and Yagita, N.
(1997)
On universally stable elements.
Quarterly Journal of Mathematics, 48 (4), .
(doi:10.1093/qmath/48.4.493).
Abstract
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.
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Published date: 1997
Organisations:
Pure Mathematics
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Local EPrints ID: 199375
URI: http://eprints.soton.ac.uk/id/eprint/199375
ISSN: 0033-5606
PURE UUID: c71d7075-4487-41ef-a722-9058db6cabb8
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Date deposited: 18 Oct 2011 13:09
Last modified: 15 Mar 2024 03:36
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Author:
B. Schuster
Author:
N. Yagita
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