Hilbert-Smith Conjecture for K - Quasiconformal Groups

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 -