Countably recognizable classes of groups with restricted conjugacy classes

A group class ${ X}$ is said to be countably recognizable if a group belongs to ${X}$ whenever all its countable subgroups lie in ${X}$‎. ‎It is proved here that most of the relevant classes of groups defined by restrictions on the conjugacy classes are countably recognizable‎.

کلیدواژه ها:

‎conjugacy class‎ ، ‎countable recognizability