Spaces with noetherian cohomology

Kasper K.S. Andersen, Natàlia Castellana, Vincent Franjou, Alain Jeanneret, Jérôme Scherer

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Abstract

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. Copyright © Edinburgh Mathematical Society 2012.
Original languageEnglish
Pages (from-to)13-25
JournalProceedings of the Edinburgh Mathematical Society
Volume56
Issue number1
DOIs
Publication statusPublished - 1 Feb 2013

Keywords

  • Classifying space
  • Cohomology
  • Noetherian
  • P-compact groups
  • P-local finite groups
  • Universal coefficients

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