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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.
Gong, Jianhua. "Hilbert-Smith Conjecture for K - Quasiconformal Groups." Fractional Calculus and Applied Analysis 13.5 (2010): 507-516. <http://eudml.org/doc/219626>.
@article{Gong2010, abstract = {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.}, author = {Gong, Jianhua}, journal = {Fractional Calculus and Applied Analysis}, keywords = {Quasiconformal Group; Lie Group; Locally Compact Group; Hilbert-Smith Conjecture; Hilbert-Smith conjecture; quasiconformal groups; Lie group; locally compact group}, language = {eng}, number = {5}, pages = {507-516}, publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences}, title = {Hilbert-Smith Conjecture for K - Quasiconformal Groups}, url = {http://eudml.org/doc/219626}, volume = {13}, year = {2010}, }
TY - JOUR AU - Gong, Jianhua TI - Hilbert-Smith Conjecture for K - Quasiconformal Groups JO - Fractional Calculus and Applied Analysis PY - 2010 PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences VL - 13 IS - 5 SP - 507 EP - 516 AB - 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. LA - eng KW - Quasiconformal Group; Lie Group; Locally Compact Group; Hilbert-Smith Conjecture; Hilbert-Smith conjecture; quasiconformal groups; Lie group; locally compact group UR - http://eudml.org/doc/219626 ER -