Groups with pronormal primary subgroups (Q584400)

The subgroup H is called pronormal in a group G if for every \(g\in G\) the subgroups H, \(g^{-1}Hg\) are conjugate in the subgroup generated by them. A group G is called locally stepped if every of its finitely generated subgroups has a proper subgroup of finite index. The authors give a characterization of periodic locally stepped groups, all of whose primary subgroups are pronormal.