Manifolds with non-zero degree maps to nilmanifolds have controlled finite group actions, and a new iterated symmetry invariant forces rational cohomology rigidity over two-step nilmanifolds.
Self-covering, finiteness, and fibering over a circle.Transactions of the American Mathematical Society,377(03), 1883-1914,
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Large and iterated finite group actions on manifolds admitting non-zero degree maps to nilmanifolds
Manifolds with non-zero degree maps to nilmanifolds have controlled finite group actions, and a new iterated symmetry invariant forces rational cohomology rigidity over two-step nilmanifolds.