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- Hilbert–Smith_conjecture abstract "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.Because of known structural results on G, it is enough to deal with the case where G is the additive group Zp of p-adic integers, for some prime number p. An equivalent form of the conjecture is that Zp has no faithful group action on a topological manifold.The naming of the conjecture is for David Hilbert, and the American topologist Paul A. Smith. It is considered by some to be a better formulation of Hilbert's fifth problem, than the characterisation in the category of topological groups of the Lie groups often cited as a solution.".
- Hilbert–Smith_conjecture wikiPageID "671711".
- Hilbert–Smith_conjecture wikiPageRevisionID "591648612".
- Hilbert–Smith_conjecture subject Category:Conjectures.
- Hilbert–Smith_conjecture subject Category:Group_actions.
- Hilbert–Smith_conjecture subject Category:Structures_on_manifolds.
- Hilbert–Smith_conjecture subject Category:Topological_groups.
- Hilbert–Smith_conjecture comment "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.".
- Hilbert–Smith_conjecture label "Hilbert–Smith conjecture".
- Hilbert–Smith_conjecture sameAs Hilbert%E2%80%93Smith_conjecture.
- Hilbert–Smith_conjecture sameAs Q5761258.
- Hilbert–Smith_conjecture sameAs Q5761258.
- Hilbert–Smith_conjecture wasDerivedFrom Hilbert–Smith_conjecture?oldid=591648612.