Geodesic
Locally Compact Contractive Local Groups
Journal of Lie theory, Tome 19 (2009) no. 4, pp. 685-695

Voir la notice de l'article provenant de la source Heldermann Verlag

We study locally compact contractive local groups, that is, locally compact local groups with a contractive pseudo-automorphism. We prove that if such an object is locally connected, then it is locally isomorphic to a Lie group. We also prove a related structure theorem for locally compact contractive local groups which are not necessarily locally connected. These results are local analogues of theorems for locally compact contractive groups.
Classification : 22D05, 22E05
Mots-clés : Locally compact local groups, contractive pseudo-automorphism, Mal'cev's theorem 
@article{JLT_2009_19_4_JLT_2009_19_4_a3,
     author = {L. van den Dries and I. Goldbring },
     title = {Locally {Compact} {Contractive} {Local} {Groups}},
     journal = {Journal of Lie theory},
     pages = {685--695},
     publisher = {mathdoc},
     volume = {19},
     number = {4},
     year = {2009},
     url = {http://geodesic.mathdoc.fr/item/JLT_2009_19_4_JLT_2009_19_4_a3/}
}
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L. van den Dries; I. Goldbring . Locally Compact Contractive Local Groups. Journal of Lie theory, Tome 19 (2009) no. 4, pp. 685-695. http://geodesic.mathdoc.fr/item/JLT_2009_19_4_JLT_2009_19_4_a3/