On the Cantor-Bendixson rank of metabelian groups.

DOI10.5802/aif.2623zbMath1238.20049arXiv0904.4230OpenAlexW2963660671MaRDI QIDQ646398

Yves De Cornulier

Publication date: 17 November 2011

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.4230

zbMATH Keywords

lattices of subgroupsfinitely presented groupsfinitely generated metabelian groupsBieri-Strebel invariantsCantor-Bendixson analysisspace of marked groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Commutative Noetherian rings and modules (13E05) Topological methods in group theory (57M07) Chains and lattices of subgroups, subnormal subgroups (20E15) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (6)

LIMITS OF METABELIAN GROUPS ⋮ Infinite presentability of groups and condensation ⋮ On the Cantor-Bendixson rank of the Grigorchuk group and the Gupta-Sidki 3 group ⋮ Limits of Baumslag-Solitar groups and dimension estimates in the space of marked groups. ⋮ Transitive graphs uniquely determined by their local structure ⋮ Metabelian groups with large return probability

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