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Type: Artigo de periódico
Title: Embedding properties of metabelian Lie algebras and metabelian discrete groups
Author: Groves, JRJ
Kochloukova, DH
Abstract: We show that for every natural number m a finitely generated metabelian group G embeds in a quotient of a metabelian group of type FPm. Furthermore, if m <= 4, the group G can be embedded in a metabelian group of type FPm. For L a finitely generated metabelian Lie algebra over a field K and a natural number m we show that, provided the characteristic p of K is 0 or p > m, then L can be embedded in a metabelian Lie algebra of type FPm. This result is the best possible as for 0 < p <= m every metabelian Lie algebra over K of type FPm is finite dimensional as a vector space.
Country: Inglaterra
Editor: Oxford Univ Press
Citation: Journal Of The London Mathematical Society-second Series. Oxford Univ Press, v. 73, n. 475, n. 492, 2006.
Rights: fechado
Identifier DOI: 10.1112/S0024610705022581
Date Issue: 2006
Appears in Collections:Unicamp - Artigos e Outros Documentos

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