TY - JOUR
T1 - Spaces with noetherian cohomology
AU - Andersen, Kasper K.S.
AU - Castellana, Natàlia
AU - Franjou, Vincent
AU - Jeanneret, Alain
AU - Scherer, Jérôme
PY - 2013/2/1
Y1 - 2013/2/1
N2 - 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.
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. Copyright © Edinburgh Mathematical Society 2012.
KW - Classifying space
KW - Cohomology
KW - Noetherian
KW - P-compact groups
KW - P-local finite groups
KW - Universal coefficients
UR - https://www.scopus.com/pages/publications/84893048755
U2 - 10.1017/S0013091512000193
DO - 10.1017/S0013091512000193
M3 - Article
SN - 0013-0915
VL - 56
SP - 13
EP - 25
JO - Proceedings of the Edinburgh Mathematical Society
JF - Proceedings of the Edinburgh Mathematical Society
IS - 1
ER -