We give a classification of polycyclic groups of orientation-preserving -diffeomorphisms of the closed interval. This shows that many polycyclic groups of -diffeomorphisms of the half-open interval are not the restriction of groups of -diffeomorphisms of the closed interval.
On donne une classification des groupes polycycliques de difféomorphismes directs et de classe de l'intervalle fermé. Cela montre que il y a des groupes polycycliques de difféomorphsmes de classe de l'intervalle demi-ouvert qui ne sont pas des restrictions des groupes de difféomorphsmes de classe de l'intervalle fermée.
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@article{CRMATH_2009__347_13-14_813_0,
author = {Matsuda, Yoshifumi},
title = {Polycyclic groups of diffeomorphisms of the closed interval},
journal = {Comptes Rendus. Math\'ematique},
pages = {813--816},
publisher = {Elsevier},
volume = {347},
number = {13-14},
year = {2009},
doi = {10.1016/j.crma.2009.04.008},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2009.04.008/}
}
TY - JOUR AU - Matsuda, Yoshifumi TI - Polycyclic groups of diffeomorphisms of the closed interval JO - Comptes Rendus. Mathématique PY - 2009 SP - 813 EP - 816 VL - 347 IS - 13-14 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2009.04.008/ DO - 10.1016/j.crma.2009.04.008 LA - en ID - CRMATH_2009__347_13-14_813_0 ER -
%0 Journal Article %A Matsuda, Yoshifumi %T Polycyclic groups of diffeomorphisms of the closed interval %J Comptes Rendus. Mathématique %D 2009 %P 813-816 %V 347 %N 13-14 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2009.04.008/ %R 10.1016/j.crma.2009.04.008 %G en %F CRMATH_2009__347_13-14_813_0
Matsuda, Yoshifumi. Polycyclic groups of diffeomorphisms of the closed interval. Comptes Rendus. Mathématique, Volume 347 (2009) no. 13-14, pp. 813-816. doi : 10.1016/j.crma.2009.04.008. http://www.numdam.org/articles/10.1016/j.crma.2009.04.008/
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