Torsion in profinite completions

DOI10.1016/0022-4049(93)90018-OzbMath0829.20044MaRDI QIDQ686031

John S. Wilson, Peter H. Kropholler

Publication date: 15 January 1996

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Abelian groupsnilpotent groupsprofinite completionsfinitely generated centre by metabelian groupsresidually finite torsion-free groupssoluble minimax groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Residual properties and generalizations; residually finite groups (20E26) Limits, profinite groups (20E18)

Related Items (6)

Profinite groups, profinite completions and a conjecture of Moore. ⋮ The congruence subgroup problem for finitely generated nilpotent groups ⋮ On quotients of Coxeter groups ⋮ On growth of homology torsion in amenable groups ⋮ Subspace topologies in central extensions ⋮ Cantor dynamics of renormalizable groups

Cites Work

• Torsion in pro-finite completions of torsion-free groups
• Torsion-free soluble groups, completions, and the zero divisor conjecture
• On the Finiteness of Certain Soluble Groups

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