Cohomology rings of almost-direct products of free groups
Cohomology rings of almost-direct products of free groups
复制标题
自由群的几乎直积的上同调环
DOI：
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发表时间：
2008
影响因子：
1.8
通讯作者：
Daniel C. Cohen
中科院分区：
文献类型：
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作者：
Daniel C. Cohen
摘要 自由群的近直积是有限生成的自由群的迭代半直积，其中组成自由群对彼此同源性的作用是微不足道的。我们确定这样一个群的上同调环的结构。这用于分析相关 Eilenberg-MacLane 空间的拓扑复杂性。
Abstract An almost-direct product of free groups is an iterated semidirect product of finitely generated free groups in which the action of the constituent free groups on the homology of one another is trivial. We determine the structure of the cohomology ring of such a group. This is used to analyze the topological complexity of the associated Eilenberg–MacLane space.