Cyclic partition for the groups of PSL(2,41) and PSL(2,43)
Keywords:
Cyclic partition, sрecial linear grouр, ordinary character table, character table of raţiọnal reрresenţatiọns.
Abstract
The ordinary character table and the character table (cha.ta.) of rational representations (ra.repr.) for projective special linear groups (2,41) and (2,43) find in this work to find the cyclic partition for each group
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References
[1] Niran S.J., 2011, The Cyclic Decomposition of PSL(2,p), where p = 5,7,11,13,17 and 19, Journal of College of Education / Al-Mustansiriya University, Vol.2(1), pp.446-459.
[2] Niran S.J., Haytham R.H., 2020, Results for Some Groups of PSL (2, F), Technology Reports of Kansai University, Vol. 62(3), pp.2017-2022.
[3] Kirdar M.S.; 1982, The Factor Group of the Z-Valued Class Function Module The Group of the Generalized Characters, Ph.D.Thesis, University of Birmingham.
[4] K.E.Gehles; 2002, Ordinary Characters of Finite Special Linear Groups, M.Sc. Dissertation, University of ST. Andrews.
[5] Niran S.J., Results of the Factor Group CF(C,Z)/R(G), M.Sc. Thesis, University of Technology, 2005 .
[6] Haytham Razooki Hassan & Niran Sabah Jasim, (2021), Exactness for complex sequence in the skew shape (8,8)/(1,0), Journal of Interdisciplinary Mathematics, DOI: 10.1080/09720502.2021.1892271.
[7] Niran Sabah Jasim, Hadeel Hussein Luaibi & Rana Noori Majeed, (2021), Computations for the special linear group (2, 49), Journal of Interdisciplinary Mathematics, DOI: 10.1080/09720502.2021.1892273.
[8] Rana.N.M., Rasha.I.K. and NiranS.J., Results for Some of the Projective Special Linear Groups, International Journal of Science and Research (IJSR), Vol.7(1), pp.1868-1872, 2018.
[9] Niran Sabah Jasim, Sawsan Jawad Kadhum & Ahmed Issa Abdul-Nabi (2021): Enforcement for the partition (7,7,4;0,0), Journal of Interdisciplinary Mathematics, DOI: 10.1080/09720502.2021.1892272.
[10] Haytham Razooki Hassan & Niran Sabah Jasim, (2021), Weyl Module Resolution Res (6,6,4;0,0) in the Case of Characteristic Zero, Iraqi Journal of Science, Vol. 62, No. 4, pp: 1344-1348.DOI: 10.24996/ijs.2021.62.4.30.
[11] Haytham, R.H. & Niran, S.J. 2018. On free resolution of Weyl module and zero characteristic resolution in the case of partition (8,7,3), Baghdad Science Journal, Vol.15(4)pp. 455-465.
[12] Farah F. G., Rasha I. K. & Niran Sabah Jasim, 2020, Estimating Marriage and Divorces and Comparing Them Using Numerical Method, Al-Qadisiyah Journal of Pure Science, Vol. 25, issue (2), pp.60-66. DOI: https://doi.org/10.29350/jops.2020.25. 2.1107.
[2] Niran S.J., Haytham R.H., 2020, Results for Some Groups of PSL (2, F), Technology Reports of Kansai University, Vol. 62(3), pp.2017-2022.
[3] Kirdar M.S.; 1982, The Factor Group of the Z-Valued Class Function Module The Group of the Generalized Characters, Ph.D.Thesis, University of Birmingham.
[4] K.E.Gehles; 2002, Ordinary Characters of Finite Special Linear Groups, M.Sc. Dissertation, University of ST. Andrews.
[5] Niran S.J., Results of the Factor Group CF(C,Z)/R(G), M.Sc. Thesis, University of Technology, 2005 .
[6] Haytham Razooki Hassan & Niran Sabah Jasim, (2021), Exactness for complex sequence in the skew shape (8,8)/(1,0), Journal of Interdisciplinary Mathematics, DOI: 10.1080/09720502.2021.1892271.
[7] Niran Sabah Jasim, Hadeel Hussein Luaibi & Rana Noori Majeed, (2021), Computations for the special linear group (2, 49), Journal of Interdisciplinary Mathematics, DOI: 10.1080/09720502.2021.1892273.
[8] Rana.N.M., Rasha.I.K. and NiranS.J., Results for Some of the Projective Special Linear Groups, International Journal of Science and Research (IJSR), Vol.7(1), pp.1868-1872, 2018.
[9] Niran Sabah Jasim, Sawsan Jawad Kadhum & Ahmed Issa Abdul-Nabi (2021): Enforcement for the partition (7,7,4;0,0), Journal of Interdisciplinary Mathematics, DOI: 10.1080/09720502.2021.1892272.
[10] Haytham Razooki Hassan & Niran Sabah Jasim, (2021), Weyl Module Resolution Res (6,6,4;0,0) in the Case of Characteristic Zero, Iraqi Journal of Science, Vol. 62, No. 4, pp: 1344-1348.DOI: 10.24996/ijs.2021.62.4.30.
[11] Haytham, R.H. & Niran, S.J. 2018. On free resolution of Weyl module and zero characteristic resolution in the case of partition (8,7,3), Baghdad Science Journal, Vol.15(4)pp. 455-465.
[12] Farah F. G., Rasha I. K. & Niran Sabah Jasim, 2020, Estimating Marriage and Divorces and Comparing Them Using Numerical Method, Al-Qadisiyah Journal of Pure Science, Vol. 25, issue (2), pp.60-66. DOI: https://doi.org/10.29350/jops.2020.25. 2.1107.
Published
2021-07-05
How to Cite
Sabah, N., & Noor Alhuda Samir Salem. (2021). Cyclic partition for the groups of PSL(2,41) and PSL(2,43). Al-Qadisiyah Journal of Pure Science, 26(4), 27-30. https://doi.org/10.29350/qjps.2021.26.4.1351
Section
Special Issue (Silver Jubilee)
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