TY - EJOUR
DO - 10.1017/S0013091512000193
AB - 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.
T1 - Spaces With Noetherian Cohomology
DA - 2013
AU - Andersen, Kasper K. S.
AU - Castellana, Natalia
AU - Franjou, Vincent
AU - Jeanneret, Alain
AU - Scherer, Jerome
JF - Proceedings Of The Edinburgh Mathematical Society
SP - 13-25
VL - 56
EP - 13-25
PB - Cambridge Univ Press
PP - New York
ID - 185439
KW - Noetherian
KW - cohomology
KW - universal coefficients
KW - classifying space
KW - p-compact groups
KW - p-local finite groups
SN - 0013-0915
ER -