International Journal of Nonlinear Analysis and Applications
Score for some groups \({SUT}(2, p)\)
Document Type : Research Paper
Authors
Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq
Abstract
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.
Keywords
[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.
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.
)
Volume 12, Issue 2
November 2021Pages 2539-2544
- Receive Date: 28 March 2021
- Revise Date: 10 April 2021
- Accept Date: 23 May 2021