Homologically Trivial Group Actions on 4-Manifolds

1998/09/10 by Allan L. Edmonds, Edmonds, Allan L.
Mathematics · #20J06 #57M60 #57S17 #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:20J06 #msc:57M60 #msc:57S17

paper · pdf · doi:10.48550/arxiv.math/9809055

14 pages

arxiv created 1998/09/10 · openalex publication_date 1998/09/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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