On inert subgroups of a group.
Summary: A subgroup \(H\) of a group \(G\) is called inert if \(|H:H\cap H^g|\) is finite for all \(g\) in \(G\). If every subgroup of \(G\) is inert, then \(G\) is said to be inertial. After giving an account of the basic properties of inert subgroups, we study the structure of inertial soluble groups. A classification is obtained for the groups which are finitely generated or have finite Abelian total rank.
scientific article; zbMATH DE number 5595160