Nous montrons que le sous-groupe des points fixes d’un automorphisme d’un groupe hyperbolique au sens de M. Gromov est de type fini.
We prove that the fixed points set of an automorphism of a hyperbolic group in M. Gromov sense is finitely generated.
@article{AIF_1989__39_3_651_0, author = {Paulin, Fr\'ed\'eric}, title = {Points fixes des automorphismes de groupe hyperbolique}, journal = {Annales de l'Institut Fourier}, pages = {651--662}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {39}, number = {3}, year = {1989}, doi = {10.5802/aif.1181}, mrnumber = {91a:20030}, zbl = {0674.20022}, language = {fr}, url = {http://archive.numdam.org/articles/10.5802/aif.1181/} }
TY - JOUR AU - Paulin, Frédéric TI - Points fixes des automorphismes de groupe hyperbolique JO - Annales de l'Institut Fourier PY - 1989 SP - 651 EP - 662 VL - 39 IS - 3 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/articles/10.5802/aif.1181/ DO - 10.5802/aif.1181 LA - fr ID - AIF_1989__39_3_651_0 ER -
Paulin, Frédéric. Points fixes des automorphismes de groupe hyperbolique. Annales de l'Institut Fourier, Tome 39 (1989) no. 3, pp. 651-662. doi : 10.5802/aif.1181. http://archive.numdam.org/articles/10.5802/aif.1181/
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