Two subgroups H and K of a group are commensurable iff H ∩ K has finite index in both H and K. We prove that hyper-(abelian or finite) groups with finite abelian total rank in which every subgroup is commensurable to a normal one are finite-by-abelian-by-finite.
A class of groups with inert subgroups / Dardano, Ulderico; S., Rinuaro. - (2012). (Intervento presentato al convegno ISCHIA GROUP THEORY 2012 Conference tenutosi a Ischia (NA), I nel 26/3/2012).
A class of groups with inert subgroups.
DARDANO, ULDERICO;
2012
Abstract
Two subgroups H and K of a group are commensurable iff H ∩ K has finite index in both H and K. We prove that hyper-(abelian or finite) groups with finite abelian total rank in which every subgroup is commensurable to a normal one are finite-by-abelian-by-finite.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
Preprint_CN_Nov18_ISCHIA.pdf
accesso aperto
Tipologia:
Documento in Pre-print
Licenza:
Dominio pubblico
Dimensione
71.77 kB
Formato
Adobe PDF
|
71.77 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.