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Countably recognizable classes of groups with restricted conjugacy classes | ||
International Journal of Group Theory | ||
مقاله 3، دوره 7، شماره 1، خرداد 2018، صفحه 5-16 اصل مقاله (217.5 K) | ||
نوع مقاله: Ischia Group Theory 2016 | ||
شناسه دیجیتال (DOI): 10.22108/ijgt.2016.21235 | ||
نویسندگان | ||
Francesco de Giovanni* 1؛ Marco Trombetti2 | ||
1Dipartimento di Matematica e Applicazioni - University of Napoli "Federico II" | ||
2Universita di Napoli Federico II, | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
conjugacy class؛ countable recognizability | ||
مراجع | ||
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