Subgroups of continuous groups acting differentiably on the half-line
Annales de l'Institut Fourier, Volume 34 (1984) no. 1, pp. 47-56.

We consider groups of diffeomorphisms of the closed half-line which fix only the end point. When the group is a Lie group it is isomorphic to a subgroup of the affine group. On the other hand, when the group is isomorphic to a discrete subgroup of a solvable Lie group it is topologically equivalent to a subgroup of the affine group.

Nous considérons des groupes de différomorphismes de la demi-droite fermée qui ne fixe qu’un point. Un tel groupe, s’il est un groupe de Lie, est isomorphe à un sous-groupe du groupe affine. D’autre part, un tel groupe, s’il est isomorphe à un sous-groupe discret d’un groupe de Lie résoluble, est topologiquement équivalent à un sous-groupe du groupe affine.

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Plante, Joseph F. Subgroups of continuous groups acting differentiably on the half-line. Annales de l'Institut Fourier, Volume 34 (1984) no. 1, pp. 47-56. doi : 10.5802/aif.950. https://aif.centre-mersenne.org/articles/10.5802/aif.950/

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