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arxiv: math/9809055 · v1 · submitted 1998-09-10 · 🧮 math.GT

Homologically Trivial Group Actions on 4-Manifolds

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keywords grouphomologicallymanifoldactingactionsarbitrarybetticlosed
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It is proved that an arbitrary finite group acting locally linearly, homologically trivially, and pseudofreely on a closed, simply connected 4-manifold must in fact be cyclic and act semifreely, provided the second betti number of the manifold is at least three.

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