Homological approximations for profinite and pro-p limit groups

DOI10.1080/00927872.2019.1691569zbMath1452.20024arXiv1803.00140OpenAlexW2991376973MaRDI QIDQ5220652

Jhoel S. Gutierrez

Publication date: 27 March 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.00140

zbMATH Keywords

profinite groupslimit groupsprofinite completion

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26) Groups acting on trees (20E08) Limits, profinite groups (20E18)

Cites Work

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• Volume gradients and homology in towers of residually-free groups
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• Profinite groups and Boolean graphs
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• Normal subgroups in limit groups of prime index
• Profinite extensions of centralizers and the profinite completion of limit groups
• Hall's theorem for limit groups.
• Normalizers in groups and in their profinite completions.
• Subgroup properties of pro-\(p\) extensions of centralizers.
• SUBGROUPS OF PROFINITE GROUPS ACTING ON TREES
• On subdirect products of type FP m of limit groups
• Subgroups and homology of extensions of centralizers of pro-pgroups
• Profinite Graphs and Groups

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