On the inverse limit of free nilpotent groups

DOI10.1007/BF02567366zbMath0418.20028MaRDI QIDQ755674

Urs Stammbach, Gilbert Baumslag

Publication date: 1977

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/139691

zbMATH Keywords

2-generator subgroupslower central seriesfree subgroup of uncountable rankuniversal parafree group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Free nonabelian groups (20E05) Residual properties and generalizations; residually finite groups (20E26) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12) Limits, profinite groups (20E18)

Related Items (12)

Subgroup lattices and the geometry of Hall's \(W\)-power groups. ⋮ Right exact group completion as a transfinite invariant of homology equivalence ⋮ Subgroup lattices of Hall's \(W\)-power groups. ⋮ Infinite groups ⋮ Free prounipotent groups ⋮ Homotopical and combinatorial aspects of the theory of normal series in groups. ⋮ On the third homotopy group of Orr's space ⋮ Projective limits of nilpotent Hall groups. ⋮ A note on parafree lie algebras ⋮ Finitely presented semigroups and associative algebras ⋮ A TRANSFINITE FILTRATION OF SCHUR MULTIPLICATOR ⋮ FAITHFULNESS OF CERTAIN MODULES AND RESIDUAL NILPOTENCE OF GROUPS

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