Geodesic
Hilbert-Smith Conjecture for K - Quasiconformal Groups
Fractional calculus and applied analysis, Tome 13 (2010) no. 5, pp. 507-516.

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A 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.
Keywords: Quasiconformal Group, Lie Group, Locally Compact Group, Hilbert-Smith Conjecture 
@article{FCAA_2010_13_5_a4,
     author = {Gong, Jianhua},
     title = {Hilbert-Smith {Conjecture} for {K} - {Quasiconformal} {Groups}},
     journal = {Fractional calculus and applied analysis},
     pages = {507--516},
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     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/FCAA_2010_13_5_a4/}
}
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Gong, Jianhua. Hilbert-Smith Conjecture for K - Quasiconformal Groups. Fractional calculus and applied analysis, Tome 13 (2010) no. 5, pp. 507-516. http://geodesic.mathdoc.fr/item/FCAA_2010_13_5_a4/