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A characterization of L2(81) by nse | ||
| International Journal of Group Theory | ||
| مقاله 11، دوره 5، شماره 1، خرداد 2016، صفحه 29-35 اصل مقاله (201.25 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2016.5843 | ||
| نویسندگان | ||
| Leila Mousavi* 1؛ Bijan Taeri2 | ||
| 1Department of Mathematical Sciences; Isfahan University of Technology; Isfahan 84156-83111; Iran. | ||
| 2Department of Mathematical Sciences;, Isfahan University of Technology | ||
| چکیده | ||
| Let $\pi_e(G)$ be the set of element orders of a finite group $G$. Let $nse(G)=\{m_n\mid n\in\pi_e(G)\}$, where $m_n$ be the number of elements of order $n$ in $G$. In this paper, we prove that if $nse(G)=nse(L_2(81))$, then $G\cong L_2(81)$. | ||
| کلیدواژهها | ||
| set of the numbers of elements of the same order؛ order of an element؛ Thompson's problem | ||
| مراجع | ||
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A. K. Asboei and S. S. Salehi Amiri (2012) A new Characterization of $PSL(2,25)$ Int. J. Group Theory 1 (3), 15-19
A. K. Asboei (2014) A new Characterization of $PSL(2,27)$ Bol. Soc. Paran Math. , 43-50
J. H. Conway, R. Curtis, S. Norton and R. A. Wilson (1985) Atlas of Finite Groups computational assistance from J. G. Thackray, Oxford University Press
J. D. Frobenius (1895) Verallgemeinerung des Sylowschen Satse Berliner Sitz , 981-993
M. Hall (1959) The Theory of Group The Macmillan Co., New York
M. Herzog (1968) On finite simple groups of order divisible by three primes only J. Algebra 10, 383-388
B. Huppert (1967) Endliche Gruppen I Grundlehren der Mathematischen Wissenschaften, Springer-Verlag, Berlin 134
M. Khatami, B. Khosravi and Z. Akhlaghi (2009) A new characterization for some linear groups Monatsh. Math. 163, 39-50
C. G. Shao and Q. H. Jiang (2014) A new characterization of ${\rm PSL}_2(p)$ by NSE J. Algebra Appl. 13, 24-29
C. G. Shao, W. Shi and Q. H. Jiang (2008) Characterization of simple $K_4$-groups Front. Math. China. 3, 355-370
R. Shen, C. Shao, Q. Jiang, W. Shi and V. Mazurov (2010) A new characterization of $A_5$ Monatsh. Math. 160, 337-341
W. Shi (1991) On simple $K_4$-groups Chinese Science Bull. 36, 1281-1283
The GAP Group (2005) GAP - Groups Algorithms and Programming, Version 4.4, (\href{http://www.gap-system.org}{http://www.gap-system.org})
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