On induced morphism of Mislin genera.

Título inglés On induced morphism of Mislin genera.
Título español Morfismos inducidos del género Mislin.
Autor/es Hilton, Peter
Organización Dep. Math. Sci. State Univ. New York, Binghamton (New York), Estados Unidos
Revista 0214-1493
Publicación 1994, 38 (2): 299-314, 9 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés Let N be a nilpotent group with torsion subgroup TN, and let α: TN → T' be a surjective homomorphism such that kerα is normal in N. Then α determines a nilpotent group Ñ such that TÑ = T' and a function α* from the Mislin genus of N to that of Ñ in N (and hence Ñ) is finitely generated. The association α → α* satisfies the usual functiorial conditions. Moreover [N,N] is finite if and only if [Ñ,Ñ] is finite and α* is then a homomorphism of abelian groups. If Ñ belongs to the special class studied by Casacuberta and Hilton (Comm. in Alg. 19(7) (1991), 2051-2069), then α* is surjective. The construction α* thus enables us to prove that the genus of N is non-trivial in many cases in which N itself is not in the special class; and to establish non-cancellation phenomena relating to such groups N.
Clasificación UNESCO 120106
Palabras clave español Grupo nilpotente ; Homomorfismos
Código MathReviews MR1316629
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