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p-compact groups

Proceedings of the Edinburgh Mathematical Society (1)

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Spaces with Noetherian cohomology
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Kasper K. S. Andersen, Natàlia Castellana, Vincent Franjou, Alain Jeanneret, Jérôme Scherer
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 56 / Issue 1 / February 2013

Published online by Cambridge University Press:

05 December 2012, pp. 13-25
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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.