Nilpotent-By-Finite Groups With Isomorphic Finite Quotients

DOI10.2307/1996471zbMath0273.20020OpenAlexW4235809990MaRDI QIDQ5181860

P. F. Pickel

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996471

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25)

Related Items (10)

Nilpotent-by-finite groups with the same finite images ⋮ Torsion-free nilpotent groups of small Hirsch length with isomorphic finite quotients ⋮ Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups ⋮ Recognizing a relatively hyperbolic group by its Dehn fillings ⋮ Metabelian groups with the same finite quotients ⋮ Fitting subgroups and profinite completions of polycyclic groups ⋮ On polycyclic groups with isomorphic finite quotients ⋮ Two theorems on polycyclic groups ⋮ Finiteness theorems for polycyclic groups ⋮ Unnamed Item

Cites Work

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• Some finiteness properties of adele groups over number fields
• Decomposition of unitary representations defined by discrete subgroups of nilpotent groups
• Théoremes de finitude en cohomologie galoisienne
• On a problem of Philip Hall
• On the isomorphism problem for polycyclic groups
• Automorphism groups of finitely generated nilpotent groups
• On the isomorphism problem for just‐infinite groups
• Finitely Generated Nilpotent Groups with Isomorphic Finite Quotients
• On Infinite Soluble Groups (III)

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