Título inglés | Some remarks on almost finitely generated nilpotent groups. |
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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 |
Acceso al artículo completo |