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Score for some groups \({SUT}(2, p)\) | ||
International Journal of Nonlinear Analysis and Applications | ||
دوره 12، شماره 2، بهمن 2021، صفحه 2539-2544 اصل مقاله (352.57 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5408 | ||
نویسندگان | ||
Dunya Mohamed Hameed* ؛ Ahmed Kareem Mohsin؛ Intidhar Zamil Mushtt | ||
Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq | ||
تاریخ دریافت: 08 فروردین 1400، تاریخ بازنگری: 21 فروردین 1400، تاریخ پذیرش: 02 خرداد 1400 | ||
چکیده | ||
The problem of finding the Artin character and Artin indicator for the groups \({SUT}(2, p)\), where \(p\)= 3, 5, 7 from the induced character from the cyclic subgroups for these groups determined in this work where \({SUT}(2, p)\) is the special upper triangular group. | ||
کلیدواژهها | ||
Artin character؛ Artin indicator؛ special upper triangular group؛ cyclic subgroups | ||
مراجع | ||
[1] A.M. Ibraheem and N.S. Jassim, Artin characters for the special linear group sl(2,p) where p is a prime number less than 19, Seventeenth Sci. Conf. College of Educ., Al Mustansiriya University, 2010, pp. 386–408. [2] N.S. Jassim, Artin exponent for the projective special linear group psl(2, pk ) where p k =5,7,11,13 and 19, College Educ. J. Al-Mustansiriyah Univ. 5 (2009) 21–38. [3] N.S. Jassim and R.H. Haytham, Results for some groups of psl(2,f ), Technol. Rep. Kansai univ. 62(3) (2020) 2017–2022. [4] N.S. Jassim and M.Y. Turki, Artin exponent for the special linear group sl(2, pk ) where p k = 9, 25 and 27, J. College Basic Educ. Mustansiriya Univ. 19(80) (2009) 683–692. [5] A.B. Mohammed, Character tables of the general linear group and some of its subroups, Master’s thesis, School of Mathematical Sciences University of KwaZulu-Natal, Pietermaritzburg, South Africa, 2008. [6] O.M. Salih, N.J. Mohammed, and B.M. Alwan, Result for the groups SUT (2, p), where p = 3, 5, 7, Technol. Rep. Kansai ZUniv. 62(3) (2020) 2029–2034. | ||
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