Countably recognizable classes of groups with restricted conjugacy classes
نویسندگان
1 Dipartimento di Matematica e Applicazioni - University of Napoli "Federico II"
2 Universita di Napoli Federico II,
doi
10.22108/ijgt.2016.21235چکیده
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.