Hilbert–Smith conjecture

id: hilbert-smith-conjecture-267-2957397
title: Hilbert–Smith conjecture
text: 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 groups G which are locally compact and have a continuous, faithful group action on M, the conjecture states that G must be a Lie group. Because of known structural results on G, it is enough to deal with the case where G is the additive group Z p of
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original url: https://en.wikipedia.org/wiki/Hilbert%E2%80%93Smith_conjecture
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date modified: 2024-01-29T17:47:41Z
main entity: {"identifier":"Q5761258","url":"https://www.wikidata.org/entity/Q5761258"}
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