Silvana Rinauro

collaborators

2 papers

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 $G$ has a finite normal subgroup $L$ such that $G / L$ is hypercentral, then the index of the hypercenter of $G$ is bounded by a function of the order of $L$ .…