The structure of groups whose subgroups are permutable-by-finite

M. De Falco, F. De Giovanni, C. Musella, Y. P. Sysak
2006 Journal of the Australian Mathematical Society  
A subgroup H of a group G is said to be permutable if HX = XH for each subgroup X of G, and the group G is called quasihamiltonian if all its subgroups are permutable. We shall say that G is a QF-group if every subgroup H of G contains a subgroup K of finite index which is permutable in G.
doi:10.1017/s1446788700014622 fatcat:2zyx4ggyejhijf7pfsc5jr7dsu