具有多个有限上同调函子的群
Groups with many finitary cohomology functors
摘要：
对于群G，我们考虑自然数n的集合，其中G的第n个上同调函子与系数模的滤余极限系交换。我们发现，对于大类的分层可分解群有一个二分法：这一套自然数是有限或余有限。此外，任何有限或上有限集显示出现在适当的例子。调查最近的文学关于这个话题，特别是马丁汉密尔顿的工作，包括在内。
英文摘要：
For a group G we consider the set of natural numbers n for which the nth cohomology functor of G commutes with filtered colimit systems of coefficient modules. We find that for the large class of hierarchically decomposable groups there is a dichotomy: this set of natural numbers is either finite or cofinite. Moreover any finite or cofinite set is shown to arise in suitable examples. A survey of recent literature on this topic, especially the work of Martin Hamilton, is included.
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