A group G is said to be a T-group if normality in G is a transitive relation. Clearly, as a simple group has the property T, it follows that T is not subgroup closed. A group G is called a (T) over bar -group if all its subgroups are T-groups. In this note the structure of groups all of whose (proper) subgroups either are nilpotent or satisfy the property (T) over bar will be investigated.
On groups with many subgroups satisfying a transitive normality relation
Russo Alessio.
;Viscusi Mario
2024
Abstract
A group G is said to be a T-group if normality in G is a transitive relation. Clearly, as a simple group has the property T, it follows that T is not subgroup closed. A group G is called a (T) over bar -group if all its subgroups are T-groups. In this note the structure of groups all of whose (proper) subgroups either are nilpotent or satisfy the property (T) over bar will be investigated.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
