Minimal Euler Characteristics for Even-Dimensional Manifolds with Finite Fundamental Group

Ian Hambleton, McMaster University

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We consider the Euler characteristics of closed orientable 2n-manifolds with a given fundamental group G, and highly-connected universal cover. We  strengthen the 4-dimensional Hausmann-Weinberger estimates and extend to higher dimensions.  As an application we obtain new restrictions for non--abelian finite groups arising as fundamental groups of rational homology 4--spheres.

This is joint work with Alejandro Adem.