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The converse to the Smith theorem for<i>Z</i><sub><i>p</i></sub>-homology spheres
Let X be a finite CW complex with the Z p homology of an n -sphere.Let Z p act cellularly on X.The Smith theorem asserts that the fixed point set X Zp has the Z p homology of an m -sphere for -1 ^ m ^ n.A converse to this …