Subgroup lattices and the geometry of Hall's \(W\)-power groups.

DOI10.1134/S106456240906026XzbMath1184.20029MaRDI QIDQ845517

A. A. Lashkhi, T. Z. Bokelavadze

Publication date: 29 January 2010

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

zbMATH Keywords

lattice isomorphismssubgroup latticesgeneralized nilpotent groupsrelatively complemented lattices\(W\)-power nilpotent groups

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (5)

Tensor completion in the category of \(R\)-groups over a ring \(R\). ⋮ Subgroup lattices of Hall's \(W\)-power groups. ⋮ Free products in the category of \(A\)-groups over a ring \(A\). ⋮ Power groups. ⋮ Projective limits of nilpotent Hall groups.

Cites Work

• On the inverse limit of free nilpotent groups
• A projective geometry of Lie algebras
• Subgroup lattices of groups
• Rational homotopy theory
• Algorithmic problems for \(\sigma\)-power groups
• Homotopy limits, completions and localizations

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