Noether上同调空间
Spaces with Noetherian cohomology
摘要：
具有Noether扭系数的p-紧群的分类空间的上同调是Noether模吗？本文在p-adic整数环上将Evens-Venkov定理推广到p-紧群上。我们考虑一个空间的上同调系数在一个模块，我们比较的Noetherianity域的p元素，与Noetherianity的p-adic整数，在这种情况下，当基本群是一个有限的p-群。
英文摘要：
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.
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