Geodesic
On locally Lipschitz locally compact transformation groups of manifolds
Archivum mathematicum, Tome 43 (2007) no. 3, pp. 159-162 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper we show that a “locally Lipschitz” locally compact transformation group acting continuously and effectively on a connected paracompact locally Euclidean topological manifold is a Lie group. This is a contribution to the proof of the Hilbert-Smith conjecture. It generalizes the classical Bochner-Montgomery-Kuranishi Theorem[1, 9] and also the Repovš-Ščepin Theorem [17] which holds only for Riemannian manifolds.
In this paper we show that a “locally Lipschitz” locally compact transformation group acting continuously and effectively on a connected paracompact locally Euclidean topological manifold is a Lie group. This is a contribution to the proof of the Hilbert-Smith conjecture. It generalizes the classical Bochner-Montgomery-Kuranishi Theorem[1, 9] and also the Repovš-Ščepin Theorem [17] which holds only for Riemannian manifolds.
Classification : 57S05
Keywords: locally Lipschitz transformation group; Hilbert-Smith conjecture 
@article{ARM_2007_43_3_a1,
     author = {George Michael, A. A.},
     title = {On locally {Lipschitz} locally compact transformation groups of manifolds},
     journal = {Archivum mathematicum},
     pages = {159--162},
     year = {2007},
     volume = {43},
     number = {3},
     mrnumber = {2354804},
     zbl = {1164.57014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2007_43_3_a1/}
}
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George Michael, A. A. On locally Lipschitz locally compact transformation groups of manifolds. Archivum mathematicum, Tome 43 (2007) no. 3, pp. 159-162. http://geodesic.mathdoc.fr/item/ARM_2007_43_3_a1/