Characterization of generalized Chernikov groups among groups with involutions (Q1277557)

A group \(G\) is said to be a generalized Chernikov group if it is the extension of a direct product \(A\) of Prüfer \(p\)-groups with finitely many factors for each prime \(p\) by a locally normal and finite group, and each element of \(G\) commutes elementwise with all but finitely many Sylow subgroups of \(A\). In this paper the author provides a characterization of generalized Chernikov groups in the class of groups with involutions.