On finite groups acting on homology 4-spheres and finite subgroups of SO(5)
On finite groups acting on homology 4-spheres and finite subgroups of SO(5)
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关于作用于同调 4-球上的有限群和 SO(5) 的有限子群
DOI：
10.1016/j.topol.2011.01.017
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
B. Zimmermann
中科院分区：
文献类型：
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作者：
M. Mecchia;B. Zimmermann
We show that a finite group which admits a faithful, smooth, orientation-preserving action on a homology 4-sphere, and in particular on the 4-sphere, is isomorphic to a subgroup of the orthogonal group SO(5), by explicitly determining the various groups which can occur (up to an indeterminacy of index two in the case of solvable groups). As a consequence we obtain also a characterization of the finite groups which are isomorphic to subgroups of the orthogonal groups SO(5) and O(5).
