On the classifying space of the family of virtually cyclic subgroups
On the classifying space of the family of virtually cyclic subgroups
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关于虚循环子群族的分类空间
DOI：
10.4310/pamq.2012.v8.n2.a6
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Michael Weiermann
中科院分区：
文献类型：
--
作者：
W. Lueck;Michael Weiermann
研究离散群的虚循环子群族的分类空间的最小维数。我们给一个完整的答案，例如，如果该集团几乎是多Z，字双曲或可数本地几乎循环。我们给出的例子群的差异的最小尺寸的分类空间的虚拟循环和有限的子群是-1，0和1，并显示在许多情况下，没有其他的值可以出现。
We study the minimal dimension of the classifying space of the family of virtually cyclic subgroups of a discrete group. We give a complete answer for instance if the group is virtually poly-Z, word-hyperbolic or countable locally virtually cyclic. We give examples of groups for which the difference of the minimal dimensions of the classifying spaces of virtually cyclic and of finite subgroups is -1, 0 and 1, and show in many cases that no other values can occur.