On infinitely presented soluble groups

Details On infinitely presented soluble groups On infinitely presented soluble groups

2010-10-01

arxiv.org/abs/1010.0271v1

Mathematics

Group Theory

13 pages, no figures

Scientific paper

We exhibit an infinitely presented 4-soluble group with Cantor-Bendixson rank
one, and consequently with no minimal presentation. Then we study the class of
infinitely presented metabelian groups lying in the condensation part of the
space of marked groups.

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