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

DOI10.1007/s10958-013-1359-9zbMath1292.20035OpenAlexW1983535361MaRDI QIDQ384713

Mohammad Hasan, H. S. Yoon

Publication date: 28 November 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1359-9

zbMATH Keywords

subgroup latticespower groups\(w\)-power nilpotent groupscoset latticesgeneralized nilpotent groupsrelatively complemented lattices

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Representation theory of lattices (06B15)

Cites Work

• On the inverse limit of free nilpotent groups
• Fundamental theorem of projective geometry in Lie modules and algebras
• Subgroup lattices and the geometry of Hall's \(W\)-power groups.
• A projective geometry of Lie algebras
• On Lie algebras with modular lattices of subalgebras
• Lattices with modular identity and Lie algebras
• Subgroup lattices of groups
• Rational homotopy theory
• Homotopy limits, completions and localizations
• On Lie Algebras with Many Nilpotent Subalgebras
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