On the fundamental group of an orbit space

On the fundamental group of an orbit space
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关于轨道空间的基本群

DOI:
10.1017/s0305004100038974
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发表时间:
1965
影响因子:
0.8
通讯作者:
M. A. Armstrong
M. A. Armstrong
中科院分区:
数学2区
文献类型:
--
作者:
M. A. Armstrong

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介绍。设K为连通的简复,有限或无限,其多面体((2),第45页)为空间X,则X是连通的。进一步假设X是单连通的。对于X的简单变换的任意群G, H表示由具有非空不动点集的元素生成的正规子群。
Introduction. Let K be a connected simplicial complex, finite or infinite, its polyhedron ((2), page 45) being the space X. Then X is connected. Suppose further that X is simply connected. For any group G of simplicial transformations of X, H will denote the normal subgroup generated by elements which have a non-empty fixed-point set.