On profinite groups with finite Abelianizations.

DOI10.1007/s00029-007-0035-7zbMath1138.20030OpenAlexW2063096109MaRDI QIDQ2472425

Thomas S. Weigel

Publication date: 22 February 2008

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00029-007-0035-7

zbMATH Keywords

profinite completionsprofinite groupsPoincaré duality groupsends of pro-\(p\) groupsFAB-groupsfinite Abelianizationsvirtually pro-\(p\) quotients

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Limits, profinite groups (20E18)

Related Items (8)

COHOMOLOGY AND PROFINITE TOPOLOGIES FOR SOLVABLE GROUPS OF FINITE RANK ⋮ Profinite completions of orientable Poincaré duality groups of dimension four and Euler characteristic zero. ⋮ Normal subgroups of profinite groups of non-negative deficiency. ⋮ Pro-\(\mathcal {C}\) completions of orientable \(\mathrm{PD}^3\)-pairs ⋮ Cohomological goodness and the profinite completion of Bianchi groups. ⋮ Pro-\(p\) completions of Poincaré duality groups. ⋮ $3$-Manifold Groups are Virtually Residually $p$ ⋮ Groups with the same cohomology as their pro-\(p\) completions.

This page was built for publication: On profinite groups with finite Abelianizations.