On some variants of theorems of Schur and Baer. (Q475716)

In this interesting paper, the authors continue their efforts to expand a well-known theorem of I. Schur which states that if \(G\) is a group and \(G/\zeta(G)\) is finite then \(G'\) is finite. They obtain an analogue of this result and also of theorems of R. Baer and P. Hall for groups \(G\) that have subgroups \(A\) of \(\Aut(G)\) such that \(A/\mathrm{Inn}(G)\) is finite.