پیوندهای مفید
آمار
| تعداد نشریات | 32 |
| تعداد شمارهها | 852 |
| تعداد مقالات | 8,269 |
| تعداد مشاهده مقاله | 52,630,645 |
| تعداد دریافت فایل اصل مقاله | 9,140,100 |
The ranks of the conjugacy classes of the Symplectic group $Sp(6,2)$ | ||
| Journal of Algebra and Related Topics | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 21 اردیبهشت 1405 اصل مقاله (228.91 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2026.30913.1812 | ||
| نویسندگان | ||
| A. B. M. Basheer1؛ M. J. Motalane* 2؛ T. T. Seretlo3 | ||
| 1School of Mathematical and Computer Sciences, University of Limpopo (Turfloop), Sovenga 0727, South Africa Mathematics Program, Faculty of Education and Arts, Sohar University, Sohar, Oman | ||
| 2School of Mathematical and Computer Sciences, University of Limpopo (Turfloop), Sovenga 0727, South Africa | ||
| 3Department of Mathematical Sciences, North-West University (Mafikeng), Mmabatho 2735, South Africa | ||
| چکیده | ||
| Let $G$ be a finite simple group, and $X$ be a non-trivial conjugacy class of $G.$ The $rank$ of $X$ in $G$, denoted by $rank(G~{:}~X)$, is defined to be the minimum number of elements of $X$ generating $G.$ In this paper, we investigate the ranks of the non-trivial classes of the symplectic simple group $Sp(6,2).$ We use the structure constants method to determine these ranks. The Groups, Algorithms and Programming (GAP) \cite{GAP} and the Atlas of finite group representations \cite{Wil} were used in our computations. | ||
| کلیدواژهها | ||
| Conjugacy classes؛ Rank؛ Generation؛ Symplectic simple group | ||
|
آمار تعداد مشاهده مقاله: 4 تعداد دریافت فایل اصل مقاله: 6 |
||