Artículos de revistas
Embedding properties of metabelian Lie algebras and metabelian discrete groups
Registro en:
Journal Of The London Mathematical Society-second Series. Oxford Univ Press, v. 73, n. 475, n. 492, 2006.
0024-6107
WOS:000237815900013
10.1112/S0024610705022581
Autor
Groves, JRJ
Kochloukova, DH
Institución
Resumen
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. 73 2 475 492