Some remarks on almost finitely generated nilpotent groups.

Título inglés Some remarks on almost finitely generated nilpotent groups.
Título español Comentarios sobre grupos nilpotentes casi finitamente generados.
Autor/es Hilton, Peter ; Militello, Robert
Organización Dep. Math. Sci. State Univ. New York Binghamton, Binghamton (New York), Estados Unidos;Dep. Math. Rhodes Coll., Memphis (Tennessee), Estados Unidos
Revista 0214-1493
Publicación 1992, 36 (2A): 655-662, 6 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés We identify two generalizations of the notion of a finitely generated nilpotent. Thus a nilpotent group G is fgp if Gp is fg as p-local group for each p; and G is fg-like if there exists a fg nilpotent group H such that Gp @ Hp for all p. The we have proper set-inclusions:

{fg} Ì {fg-like} Ì {fgp}.

We examine the extent to which fg-like nilpotent groups satisfy the axioms for a Serre class. We obtain a complete answer only in the case that [G, G] is finite. (The collection of fgp nilpotent groups is known to form a Serre class in the extended sense).
Código MathReviews MR1209830
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