On the Cantor-Bendixson rank of metabelian groups

Details On the Cantor-Bendixson rank of metabelian groups On the Cantor-Bendixson rank of metabelian groups

2009-04-27

arxiv.org/abs/0904.4230v3

Ann. Inst. Fourier 61(2) (2011), 593-618

Mathematics

Group Theory

20 pages, no figure. v2: minor changes. v3 substantial exposition changes, several results renumbered

Scientific paper

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.

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