GROUPS WHICH ACT ON Su WITHOUT FIXED POINTS.
GROUPS WHICH ACT ON Su WITHOUT FIXED POINTS.
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DOI：
10.2307/2372566
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发表时间：
1957-07
影响因子：
1.7
通讯作者：
J. Milnor
中科院分区：
文献类型：
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作者：
J. Milnor
这个问题的一个等价公式如下。哪些群可以作为流形Mn的基本群出现，对于这些流形Mn，泛覆盖空间A？n与Sn同胚。更一般地，人们可能只需要Mn具有S的同伦类型？L.例如，任何具有有限基本群的3-流形都满足这个更一般的条件。(Such流形被基本群和k-不变量分类到同伦型（参见Olum [3]定理IV.）作者感谢与A.夏皮罗
An equivalent formulation of the problem is the following. Which groups can occur as the fundamental groups of manifolds Mn for which the universal covering space A?n is homeomorphic to Sn. More generally one might only require that Mn have the homotopy type of S?L. For example, any 3-manifold with a finite fundamental group satisfies this more general condition. (Such manifolds are classified up to homotopy type by the fundamental group together with the k-invariant (see Olum [3] Theorem IV.)) The author is indebted to helpful discussions with A. Shapiro.