Solvable groups with many BFC-subgroups

Autores: O. D. Artemovych
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 44, Nº 2, 2000, págs. 491-501
Idioma: inglés
DOI: 10.5565/publmat_44200_08
Títulos paralelos:
- Grupos resolubles con muchos BFC-subgrupos
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Resumen
- We characterize the solvable groups without infinite properly ascending chains of non-$BFC$ subgroups and prove that a non-$BFC$ group with a descending chain whose factors are finite or abelian is a Cernikov group or has an infinite properly descending chain of non-$BFC$ subgroups.