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Type: Artigo de periódico
Title: On the homological finiteness properties of some modules over metabelian Lie algebras
Author: Kochloukova, DH
Abstract: We characterise the modules B of homological type FP,, over a finitely generated Lie algebra L such that L is a split extension of an abelian ideal A and an abelian subalgebra Q and A acts trivially on B. The characterisation is in terms of the invariant A introduced by R. Bryant and J. Groves and is a Lie algebra version of the generalisation (K 4, Conjecture 1] of the still open FPm-Conjecture for metabelian groups [Bi-G, Conjecture p. 367]. The case m = 1 of our main result is treated separately, as there the characterisation is proved without restrictions on the type of the extension.
Country: Israel
Editor: Magnes Press
Citation: Israel Journal Of Mathematics. Magnes Press, v. 129, n. 221, n. 239, 2002.
Rights: fechado
Identifier DOI: 10.1007/BF02773165
Date Issue: 2002
Appears in Collections:Unicamp - Artigos e Outros Documentos

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