3 citations · 5 across the 6 of their papers we have counts for
7 papers
Groups in which each subgroup is commensurable with a normal subgroup
Carlo Casolo, Ulderico Dardano, Silvana Rinauro
A group G is a cn-group if for each subgroup H of G there exists a normal subgroup N of G such that the index of both H and N in HN is finite. The class of cn-groups contains prope…
Inertial Properties in Groups
Ulderico Dardano, Dikran Dikranjan, Silvana Rinauro
Let G be a group and f be an endomorphism of G. A subgroup H of G is called f-inert if the meet of Hf and H has finite index in the image Hf. The subgroups that are f-inert for all…
Variants of theorems of Baer and Hall on finite-by-hypercentral groups
Carlo Casolo, Ulderico Dardano, Silvana Rinauro
We show that if a group has a finite normal subgroup such that is hypercentral, then the index of the hypercenter of is bounded by a function of the order of .…
On groups whose subnormal subgroups are inert
Ulderico Dardano, Silvana Rinauro
A subgroup H of a group G is called inert if for each the index of in is finite. We give a classification of soluble-by-finite groups in which subnorma…
On the ring of inertial endomorphisms of an abelian group
Ulderico Dardano, Silvana Rinauro
An endomorphisms of an abelian group is said inertial if each subgroup of has finite index in . We study the ring of inertial endomorphisms of an abelian gr…
The group of inertial automorphisms of an abelian group
Ulderico Dardano, Silvana Rinauro
We study the group generated by the inertial automorphisms of an abelian group , that is, automorphisms with the property that each subgroup of has finite…
Inertial endomorphisms of an abelian group
Ulderico Dardano, Silvana Rinauro
We describe inertial endomorphisms of an abelian group , that is endomorphisms with the property for each . They form a ring containing multipl…