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.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Isfahan
2018-03-01
|
| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | http://ijgt.ui.ac.ir/article_21235_894f1a96aa9ff81f3b1db138105bf512.pdf |