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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.GR2017
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…