تعداد نشریات | 43 |
تعداد شمارهها | 1,659 |
تعداد مقالات | 13,576 |
تعداد مشاهده مقاله | 31,260,102 |
تعداد دریافت فایل اصل مقاله | 12,311,841 |
On numbers which are orders of nilpotent groups with bounded class | ||
International Journal of Group Theory | ||
مقاله 5، دوره 14، شماره 2، شهریور 2025، صفحه 93-97 اصل مقاله (365.95 K) | ||
نوع مقاله: Ischia Group Theory 2022 | ||
شناسه دیجیتال (DOI): 10.22108/ijgt.2023.137950.1851 | ||
نویسنده | ||
Maria Ferrara* | ||
Dipartimento di Matematica e Fisica, Università degli Studi della Campania “Luigi Vanvitelli”, viale Lincoln 5, Caserta (Italy) | ||
چکیده | ||
Let $n$ be a positive integer. In this short note, we characterize those numbers $m$ for which any group of order $m$ is an $n$-Engel group and those numbers $m$ for which any group of order $m$ has all its subgroups subnormal of defect at most $n$. | ||
کلیدواژهها | ||
Engel group؛ subnormal subgroup؛ defect | ||
مراجع | ||
[1] Y. Berkovich, Groups of prime power order, 1, With a foreword by Zvonimir Janko, De Gruyter Expositions in Mathematics, 46, Walter de Gruyter GmbH & Co. KG, Berlin, 2008. [6] T. W. Müller, An arithmetic theorem related to groups of bounded nilpotency class, J. Algebra, 300 no. 1 (2006) 10–15. | ||
آمار تعداد مشاهده مقاله: 122 تعداد دریافت فایل اصل مقاله: 172 |