Spaces with Noetherian cohomology

Autor: Andersen, Kasper K. S., Castellana, Natalia, Franjou, Vincent, Jeanneret, Alain, Scherer, Jerome
Rok vydání: 2011
Předmět:
Zdroj: Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 56 / Issue 01 / February 2013, pp 13-25
Druh dokumentu: Working Paper
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.
Comment: 12 pages
Databáze: arXiv