Hilbert-Smith Conjecture for K - Quasiconformal Groups
Fractional Calculus and Applied Analysis, Tome 13 (2010) no. 5, p. 507.

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MSC 2010: 30C60A more general version of Hilbert's fifth problem, called the Hilbert-Smith conjecture, asserts that among all locally compact topological groups only Lie groups can act effectively on finite-dimensional manifolds. We give a solution of the Hilbert-Smith Conjecture for K - quasiconformal groups acting on domains in the extended n - dimensional Euclidean space.
Classification : 22D05, 22E30, 30C65
Mots-clés : Quasiconformal Group, Lie Group, Locally Compact Group, Hilbert-Smith Conjecture, Hilbert-Smith conjecture, quasiconformal groups, Lie group, locally compact group 
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     author = {Gong, Jianhua},
     title = {Hilbert-Smith {Conjecture} for {K} - {Quasiconformal} {Groups}},
     journal = {Fractional Calculus and Applied Analysis},
     pages = {507},
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     volume = {13},
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     year = {2010},
     zbl = {1244.30038},
     language = {en},
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Gong, Jianhua. Hilbert-Smith Conjecture for K - Quasiconformal Groups. Fractional Calculus and Applied Analysis, Tome 13 (2010) no. 5, p. 507. https://geodesic-test.mathdoc.fr/item/FCAA_2010__13_5_219626/