Andersen, Kasper K. S.
Castellana, Natalia
Franjou, Vincent
Jeanneret, Alain
Scherer, Jerome
Spaces With Noetherian Cohomology
Proceedings Of The Edinburgh Mathematical Society
0013-0915
10.1017/S0013091512000193
56
13-25
13
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.
Noetherian;
cohomology;
universal coefficients;
classifying space;
p-compact groups;
p-local finite groups;
Cambridge Univ Press
New York
2013