3 papers
math.GR2021
On groups in which subnormal subgroups of infinite rank are commensurable with some normal subgroup
Ulderico Dardano, Fausto De Mari
We study soluble groups G in which each subnormal subgroup H with infinite rank is commensurable with a normal subgroup, i.e. there exists a normal subgroup N such that the interse…
math.GR2017
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…
math.GR2015
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 .…