Loterre: Mathematics: Hilbert-Smith conjecture

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Hilbert-Smith conjecture

In mathematics, the Hilbert–Smith conjecture is concerned with the transformation groups of manifolds; and in particular with the limitations on topological groups G that can act effectively (faithfully) on a (topological) manifold M. Restricting to G which are locally compact and have a continuous, faithful group action on M, it states that G must be a Lie group.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Hilbert%E2%80%93Smith_conjecture)

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