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.
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| Veröffentlicht in: | International journal of group theory 2018-03, Vol.7 (1), p.5-16 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
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| ISSN: | 2251-7650 2251-7669 |
| DOI: | 10.22108/ijgt.2016.21235 |