Spaces with Noetherian cohomology
| Autor: | Jérôme Scherer, Vincent Franjou, Kasper K. S. Andersen, Alain Jeanneret, Natàlia Castellana |
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| Rok vydání: | 2011 |
| Předmět: |
Noetherian
Pure mathematics Fundamental group Classifying space General Mathematics Field (mathematics) Homologia Teoria d' classifying space p-local finite groups universal coefficients 510 Mathematics ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION FOS: Mathematics Algebraic Topology (math.AT) Mathematics - Algebraic Topology Mathematics p-compact groups Ring (mathematics) 55U20 (Primary) 13E05 18G15 55N25 55T10 55R12 55R35 (Secondary) Mathematics::Commutative Algebra Group (mathematics) Computer Science::Information Retrieval Mathematics::Rings and Algebras Noetherian module Topologia algebraica Cohomology cohomology |
| Zdroj: | Dipòsit Digital de Documents de la UAB Universitat Autònoma de Barcelona Andersen, Kasper K.S.; Castellana, Natalia; Franjou, Vincent; Jeanneret, Alain; Scherrer, Jérôme (2013). Spaces with Noetherian cohomology. Proceedings of the Edinburgh Mathematical Society, 56(1), pp. 13-25. Cambridge: Cambridge University Press 10.1017/S0013091512000193 Recercat. Dipósit de la Recerca de Catalunya instname Recercat: Dipósit de la Recerca de Catalunya Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| DOI: | 10.1017/S0013091512000193 |
| Popis: | Is the cohomology of the classifying space of a p-compact group, with Noetherian twisted coefficients, a Noetherian module? This note provides, over the ring of p-adic integers, such a generalization to p-compact groups of the Evens-Venkov Theorem. We consider the cohomology of a space with coefficients in a module, and we compare Noetherianity over the field with p elements, with Noetherianity over the p-adic integers, in the case when the fundamental group is a finite p-group. 12 pages |
| Databáze: | OpenAIRE |
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