On the Cantor-Bendixson rank of metabelian groups
[Sur le rang de Cantor-Bendixson des groupes métabéliens]
Cornulier, Yves
Annales de l'Institut Fourier, Tome 61 (2011), p. 593-618 / Harvested from Numdam
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On étudie le rang de Cantor-Bendixson des groupes métabéliens ou virtuellement métabéliens dans l’espace des groupes marqués, et on exhibe notamment une suite (G n ) de groupes virtuellement métabéliens de présentation finie à deux générateurs, de rang de Cantor-Bendixson égal à ω n .

We study the Cantor-Bendixson rank of metabelian and virtually metabelian groups in the space of marked groups, and in particular, we exhibit a sequence (G n ) of 2-generated, finitely presented, virtually metabelian groups of Cantor-Bendixson rank ω n .

Publié le : 2011-01-01
DOI : https://doi.org/10.5802/aif.2623
Classification:  20E15,  13E05,  20F05,  20F16,  57M07
Mots clés: groupes métabéliens, espace des groupes marqués, analyse de Cantor-Bendixson, invariant de Bieri-Strebel, treillis des sous-groupes 
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     author = {Cornulier, Yves},
     title = {On the Cantor-Bendixson rank of metabelian groups},
     journal = {Annales de l'Institut Fourier},
     volume = {61},
     year = {2011},
     pages = {593-618},
     doi = {10.5802/aif.2623},
     zbl = {1238.20049},
     mrnumber = {2895067},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2011__61_2_593_0}
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Cornulier, Yves. On the Cantor-Bendixson rank of metabelian groups. Annales de l'Institut Fourier, Tome 61 (2011) pp. 593-618. doi : 10.5802/aif.2623. http://gdmltest.u-ga.fr/item/AIF_2011__61_2_593_0/

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