Bieri, RobertCornulier, YvesGuyot, LucStrebel, Ralph2014-11-132014-11-132014-11-13201410.1017/S1474748013000327https://infoscience.epfl.ch/handle/20.500.14299/108680WOS:000343245000004We describe various classes of infinitely presented groups that are condensation points in the space of marked groups. A well-known class of such groups consists of finitely generated groups admitting an infinite minimal presentation. We introduce here a larger class of condensation groups, called infinitely independently presentable groups, and establish criteria which allow one to infer that a group is infinitely independently presentable. In addition, we construct examples of finitely generated groups with no minimal presentation, among them infinitely presented groups with Cantor-Bendixson rank 1, and we prove that every infinitely presented metabelian group is a condensation group.Cantor-Bendixson rankcondensation groupinfinitely presented metabelian groupinvariant SigmaThompson's group Fspace of marked groupstext::journal::journal article::research article