Actions of SL(n,Z) on homology spheres

Mathematics – Geometric Topology

Scientific paper

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11 pages

Scientific paper

Any continuous action of SL(n,Z), where n > 2, on a r-dimensional mod 2
homology sphere factors through a finite group action if r < n - 1. In
particular, any continuous action of SL(n+2,Z) on the n-dimensional sphere
factors through a finite group action.

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