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Homotopy theory, homological algebra, algebraic treatments of manifolds.
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Free actions of finite groups on products of even-dimensional spheres
Suppose a finite 2-group G acts freely on X = $\prod_{i=1}^k$ *S*$^{2n_i}$, a product of k even-dimensional spheres, k > 2. Is it possible for G to be non-abelian? What if we additionally assume that …