Groups in which every finite subnormal subgroup is normal.
As a generalization of the groups with transitivity of normality (T-groups), the authors consider generalized soluble groups in which all finite subnormal subgroups are normal (FT-groups). Recall that a group \(G\) is called subsoluble if it has an ascending series with abelian factors consisting of subnormal subgroups. The authors' main results is in classification of subsoluble FT \(p\)-groups which are not T-groups. In particular, for \(p\) odd they are abelian.
scientific article; zbMATH DE number 6510818