پیوندهای مفید
اخبار و اعلانات
آمار
| تعداد نشریات | 44 |
| تعداد شمارهها | 1,877 |
| تعداد مقالات | 15,278 |
| تعداد مشاهده مقاله | 43,731,462 |
| تعداد دریافت فایل اصل مقاله | 17,563,673 |
The conjugacy class ranks of $M_{24}$ | ||
| International Journal of Group Theory | ||
| مقاله 5، دوره 6، شماره 4، اسفند 2017، صفحه 53-58 اصل مقاله (181.85 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2017.21477 | ||
| نویسنده | ||
| Zwelethemba Mpono* | ||
| University of South Africa | ||
| چکیده | ||
| $M_{24}$ is the largest Mathieu sporadic simple group of order $244 823 040 = 2^{10} {\cdot} 3^3 {\cdot} 5 {\cdot} 7 {\cdot} 11 {\cdot} 23$ and contains all the other Mathieu sporadic simple groups as subgroups. The object in this paper is to study the ranks of $M_{24}$ with respect to the conjugacy classes of all its nonidentity elements. | ||
| کلیدواژهها | ||
| Rank؛ Generations؛ structure constants؛ class fusions؛ maximal subgroups | ||
| مراجع | ||
|
[1] F. Ali, On the ranks of O'N and Ly, Discrete Appl. Math., 155 (2007) 394-399.
[2] F. Ali, On the ranks of Fi22 , Quaest. Math., 37 (2014) 591-600.
[3] F. Ali and J. Mo ori, On the ranks of the Janko groups J1, J2, J3 and J4 , Quaest. Math., 31 (2008) 37-44.
[4] J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, Atlas of Finite Groups, Oxford University Press, New York, 1985.
[5] M. D. E. Conder, R. A. Wilson and A. J. Woldar, The symmetric genus of sp oradic groups, Proc. Amer. Math. Soc., 116 (1992) 653-663.
[6] S. M. Ganief, 2-Generations of the Sporadic Simple Gropups, PhD Thesis, University of Natal, South Africa, 1997.
[7] S. Ganief and J. Moori, (2, 3, t)-generations for the Janko group J3, Comm. Algebra, 23 (1995) 4427-4437.
[8] The GAP Group, GAP-Groups, Algorithms, and Programming, Version 4.4.10; 2007. www.gap-system.org.
[9] www.math.rwth-aachen.de/homes/MOC/decomp osition/ .
[10] C. Jansen, K. Lux, R. Parker and R. Wilson, An Atlas of Brauer Characters, Oxford University Press Inc., New York, 1995.
[11] J. Mo ori, On the ranks of the Fischer group F22, Math. Japonica, 43 (1996) 365-367.
[12] J. Mo ori, On the ranks of Janko groups J1, J2, J3, article presented at the 41st annual congress of the South African Mathematical So ciety, Rand Afrikaans University, Johannesburg, 1998.
[13] Z. Mp ono, Triple generations and connected comp onents of Brauer graphs in M24 , Southeast Asian Bull. Math., 41 (2017) 65-89.
[14] A. J. Woldar, 3/2-generarion of the sp oradic simple groups, Comm. Algebra, 22 (1994) 675-685. | ||
|
آمار تعداد مشاهده مقاله: 1,216 تعداد دریافت فایل اصل مقاله: 1,147 |
||