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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.In 2013, John Pardon proved the three-dimensional case of the Hilbert–Smith conjecture.".
• Hilbert–Smith_conjecture wikiPageID "671711".
• Hilbert–Smith_conjecture wikiPageLength "2513".
• Hilbert–Smith_conjecture wikiPageOutDegree "22".
• Hilbert–Smith_conjecture wikiPageRevisionID "692642093".
• Hilbert–Smith_conjecture wikiPageWikiLink Category:Conjectures.
• Hilbert–Smith_conjecture wikiPageWikiLink Category:Group_actions.
• Hilbert–Smith_conjecture wikiPageWikiLink Category:Structures_on_manifolds.
• Hilbert–Smith_conjecture wikiPageWikiLink Category:Topological_groups.
• Hilbert–Smith_conjecture wikiPageWikiLink David_Hilbert.
• Hilbert–Smith_conjecture wikiPageWikiLink Group_action.
• Hilbert–Smith_conjecture wikiPageWikiLink Hilberts_fifth_problem.
• Hilbert–Smith_conjecture wikiPageWikiLink John_Pardon.
• Hilbert–Smith_conjecture wikiPageWikiLink Journal_of_the_American_Mathematical_Society.
• Hilbert–Smith_conjecture wikiPageWikiLink Lie_group.
• Hilbert–Smith_conjecture wikiPageWikiLink Locally_compact_space.
• Hilbert–Smith_conjecture wikiPageWikiLink Manifold.
• Hilbert–Smith_conjecture wikiPageWikiLink Mathematics.
• Hilbert–Smith_conjecture wikiPageWikiLink Mathematische_Annalen.
• Hilbert–Smith_conjecture wikiPageWikiLink P-adic_number.
• Hilbert–Smith_conjecture wikiPageWikiLink Paul_Althaus_Smith.
• Hilbert–Smith_conjecture wikiPageWikiLink Prime_number.
• Hilbert–Smith_conjecture wikiPageWikiLink Springer_Science+Business_Media.
• Hilbert–Smith_conjecture wikiPageWikiLink Topological_group.
• Hilbert–Smith_conjecture wikiPageWikiLinkText "Hilbert–Smith conjecture".
• Hilbert–Smith_conjecture wikiPageWikiLinkText "Hilbert-Smith conjecture".
• Hilbert–Smith_conjecture wikiPageWikiLinkText "Hilbert–Smith Conjecture".
• Hilbert–Smith_conjecture wikiPageWikiLinkText "Hilbert–Smith conjecture".
• Hilbert–Smith_conjecture wikiPageUsesTemplate Template:Citation.
• 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 type Conjecture.
• Hilbert–Smith_conjecture type Redirect.
• Hilbert–Smith_conjecture type Space.
• Hilbert–Smith_conjecture type Statement.
• Hilbert–Smith_conjecture type Statement.
• 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 Q5761258.
• Hilbert–Smith_conjecture sameAs m.031m2v.
• Hilbert–Smith_conjecture sameAs Q5761258.
• Hilbert–Smith_conjecture sameAs 希爾伯特－史密斯猜想.
• Hilbert–Smith_conjecture wasDerivedFrom Hilbert–Smith_conjecture?oldid=692642093.
• Hilbert–Smith_conjecture isPrimaryTopicOf Hilbert–Smith_conjecture.