On profinite groups of type \(\mathrm{FP}_\infty\).

DOI10.1016/j.aim.2016.02.020zbMath1342.20031arXiv1412.1876OpenAlexW2297236170MaRDI QIDQ266119

Ged Corob Cook

Publication date: 13 April 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.1876

zbMATH Keywords

cohomology groupsgroups of type \(FP_\infty\)profinite groups of finite cohomological dimensionsoluble pro-\(p\) groupssoluble profinite groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Cohomology of groups (20J06) Limits, profinite groups (20E18)

Related Items (4)

Weak commutativity for pro-\(p\) groups ⋮ Probabilistic finiteness properties for profinite groups ⋮ Growth of Homology of Centre-by-metabelian Pro- Groups ⋮ Uncountably many non-commensurable pro-p groups of homological type FPk but not FPk+1

Cites Work

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• The generation of the augmentation ideal in profinite groups.
• Bieri-Eckmann criteria for profinite groups
• Homological finiteness conditions for pro-pgroups
• Soluble Groups of Type (FP)∞ have Finite Torsion-Free Rank

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