On finite abelian groups realizable as Mislin genera

Autores: Dirk Scevenels , Peter Hilton
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 41, Nº 2, 1997, págs. 495-505
Idioma: inglés
DOI: 10.5565/publmat_41297_14
Títulos paralelos:
- Grupos finitos abelianos realizables como género de Mislin
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Resumen
- We study the realizability of finite abelian groups as Mislin genera of finitely generated nilpotent groups with finite commutator subgroup. In particular, we give criteria to decide whether a finite abelian group is realizable as the Mislin genus of a direct product of nilpotent groups of a certain specified type. In the case of a positive answer, we also give an effective way of realizing that abelian group as a genus. Further, we obtain some non-realizability results.