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|Type:||Artigo de periódico|
|Title:||Embedding properties of metabelian Lie algebras and metabelian discrete groups|
|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.|
|Editor:||Oxford Univ Press|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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