On the Cantor-Bendixson rank of metabelian groups

Yves Cornulier[1]

  • [1] IRMAR Campus de Beaulieu 35042 Rennes Cedex (France)

Annales de l’institut Fourier (2011)

  • Volume: 61, Issue: 2, page 593-618
  • ISSN: 0373-0956

Abstract

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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 .

How to cite

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Cornulier, Yves. "On the Cantor-Bendixson rank of metabelian groups." Annales de l’institut Fourier 61.2 (2011): 593-618. <http://eudml.org/doc/219790>.

@article{Cornulier2011,
abstract = {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 $\omega ^n$.},
affiliation = {IRMAR Campus de Beaulieu 35042 Rennes Cedex (France)},
author = {Cornulier, Yves},
journal = {Annales de l’institut Fourier},
keywords = {Metabelian groups; space of marked groups; Cantor-Bendixson analysis; Bieri-Strebel invariant; lattice of subgroups; finitely generated metabelian groups; Bieri-Strebel invariants; lattices of subgroups; finitely presented groups},
language = {eng},
number = {2},
pages = {593-618},
publisher = {Association des Annales de l’institut Fourier},
title = {On the Cantor-Bendixson rank of metabelian groups},
url = {http://eudml.org/doc/219790},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Cornulier, Yves
TI - On the Cantor-Bendixson rank of metabelian groups
JO - Annales de l’institut Fourier
PY - 2011
PB - Association des Annales de l’institut Fourier
VL - 61
IS - 2
SP - 593
EP - 618
AB - 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 $\omega ^n$.
LA - eng
KW - Metabelian groups; space of marked groups; Cantor-Bendixson analysis; Bieri-Strebel invariant; lattice of subgroups; finitely generated metabelian groups; Bieri-Strebel invariants; lattices of subgroups; finitely presented groups
UR - http://eudml.org/doc/219790
ER -

References

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