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New criteria for solvability, nilpotency and other properties of finite groups in terms of the order elements or subgroups | ||
| International Journal of Group Theory | ||
| مقاله 5، دوره 12، شماره 1، خرداد 2023، صفحه 35-44 اصل مقاله (387.37 K) | ||
| نوع مقاله: Ischia Group Theory 2020/2021 | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2022.131888.1766 | ||
| نویسندگان | ||
| Marcel Herzog؛ Patrizia Longobardi؛ Mercede Maj* | ||
| Dipartimento di Matematica, Università di Salerno, via Giovanni Paolo II, 132, 84084 Fisciano (Salerno), Italy | ||
| چکیده | ||
| In this survey we shall describe some recent criteria for solvability, nilpotency and other properties of finite groups $G$, based either on the orders of the elements of $G$ or on the orders of the subgroups of $G$. | ||
| کلیدواژه‌ها | ||
| Element orders؛ solvability؛ nilpotency | ||
| مراجع | ||
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