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Spaces with Noetherian cohomology

Published online by Cambridge University Press:  05 December 2012

Kasper K. S. Andersen
Affiliation:
Centre for Mathematical Sciences, Lunds Tekniska Högskola, Box 118, 22100 Lund, Sweden (kksa@maths.lth.se)
Natàlia Castellana
Affiliation:
Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain (natalia@mat.uab.cat)
Vincent Franjou
Affiliation:
Laboratoire Jean-Leray, UMR 6629, 2 rue de la Houssinière, BP 92208, 44322 Nantes cedex 3, France (vincent.franjou@univ-nantes.fr)
Alain Jeanneret
Affiliation:
Mathematisches Institut, Universität Bern, Sidlerstrasse 5, 3012 Bern, Switzerland (alain.jeanneret@math.unibe.ch)
Jérôme Scherer
Affiliation:
École Polytechnique Fédérale de Lausanne, School of Basic Sciences, Mathematics Institute of Geometry and Applications, MA B3 455, Station 8, 1015 Lausanne, Switzerland (jerome.scherer@epfl.ch)
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Abstract

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Is the cohomology of the classifying space of a p-compact group, with Noetherian twisted coefficients, a Noetherian module? In this paper we provide, 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.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2012

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