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 |
Acceso al artículo completo |