EMBEDDING PROPERTIES OF METABELIAN LIE ALGEBRAS AND METABELIAN DISCRETE GROUPS

DOI10.1112/S0024610705022581zbMath1155.20313OpenAlexW2018939591WikidataQ115256202 ScholiaQ115256202MaRDI QIDQ5466776

Dessislava H. Kochloukova, J. R. J. Groves

Publication date: 22 May 2006

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610705022581

zbMATH Keywords

split extensionsfinitely generated metabelian groupsfinitely generated metabelian Lie algebrasmetabelian groups of type \(\text{FP}_m\)

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Homological methods in group theory (20J05) Homological methods in Lie (super)algebras (17B55) Solvable, nilpotent (super)algebras (17B30)

Related Items (9)

Finitely presented metabelian restricted Lie algebras ⋮ Homological properties of metabelian restricted Lie algebras ⋮ Homological finiteness conditions for a class of metabelian groups ⋮ Centre-by-metabelian pro-p groups of type FP_m ⋮ Virtual rational Betti numbers of abelian-by-polycyclic groups. ⋮ Nilpotent-by-abelian Lie algebras of type FP_m ⋮ On finite presentability and the homological type \(FP_n\) of Lie algebras: a survey ⋮ Embedding homological properties of metabelian discrete groups: the general case ⋮ Growth of Homology of Centre-by-metabelian Pro- Groups

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