科研之友
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摘要
We prove that if X is a compact, oriented, connected 4-dimensional smooth manifold, possibly with boundary, satisfying , then there exists a natural number C such that any finite group G acting smoothly and effectively on X has an abelian subgroup A generated by two elements which satisfies and . Furthermore, if then A is cyclic. This answers positively, for any such X, a question of A parts per thousand tienne Ghys. We also prove an analogous result for manifolds of arbitrary dimension and non-vanishing Euler characteristic, but restricted to pseudofree actions.
- 出版日期2016-2
