The third natural representation of the symmetric groups
Abstract
The intension of this thesis is to analyze the third natural representation module, M3(n)=KSnx1x2x3 and we concentrate our work on finding exact sequence for the KSn-submodules.
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References
[1] E. Al-Rubayee, on the representation of the symmetric groups, M.Sc. Thesis, college of Education –Almustansirya university 1990.
[2] H. K. Farahat, on the natural representation of the symmetric groups, proc. Glasgow math. Assoc. vol. 5 part 3, 1962, 121-136.
[3] M. AL-Jilihawi, on the natural representations of the symmetric groups, MSC. Thesis college of Education-Almustansiryauniversity: 1996.
[4] M. H. peel, on the second natural representation of the symmetric groups, proc. Glasgow math. Assoc. vol. 10 part 1, 1969, 25-37.
[5] Saheb K. AL-Saidy, Rabeaa G. Abtan, Haider J. Ali, More On MC-Functions, The Journal of the College of Basic Education (CBEJ), Vol.21, No.89, 2015, 149-156.
[6] Abdulah, A.A., Al-Aleyawee, R.G.A., Some new result on Shi arrangement, AIP Conference Proceedings, 2023, 2834(1), 080133.
[7] Abtan, R.G., Haraj, R.S., Hyperfactored of the arrangements A (G24) and A (G27), Journal of Physics: Conference Series, 2021, 1818(1), 012144.
[8] Kadhum, S.J., Abdul-Nabi, A.I., Jasim, N.S.Compute some concepts in PG (3,8), Journal of Discrete Mathematical Sciences and Cryptography, 2022, 25(2), pp. 599–604.
[9] Kadhum, S.J., Jasim, N.S., Abdul-Nabi, A.I., Results for the (b, t)-Blocking Sets in PG(2,8), Aip Conference Proceedings, 2023, 2845(1), 050044.
[10] Auday Hekmat Mahmood, Maysaa Zaki Salman , A Note on Relatively Commuting Mappings of Prime and Semiprime Rings" , International Journal of Mathematics and Computer Science, 18(2023), no. 2, 153–162.
[11] Hameed, D.M., Diagonal matrix of the tenser product (≡* Dƿ), ƿ ≥ 3 is prime number, Journal of Discrete Mathematical Sciences and Cryptography, 2025, 28(2), pp. 457–461.
[12] Salih, S.M., Hameed, D.M., Jordan permuting 3-left (resp. right) µ-centralizers on prime semi-rings, Journal of Discrete Mathematical Sciences and Cryptography, 2025, 28(4), pp. 1221–1226.
[13] Mohamed Hameed, D., Zamil Mushtt, I., Invariant Factors of the Tenser Product of (≡∗ (Cα3), Iop Conference Series Materials Science and Engineering, 2020, 928(4), 042038.
[2] H. K. Farahat, on the natural representation of the symmetric groups, proc. Glasgow math. Assoc. vol. 5 part 3, 1962, 121-136.
[3] M. AL-Jilihawi, on the natural representations of the symmetric groups, MSC. Thesis college of Education-Almustansiryauniversity: 1996.
[4] M. H. peel, on the second natural representation of the symmetric groups, proc. Glasgow math. Assoc. vol. 10 part 1, 1969, 25-37.
[5] Saheb K. AL-Saidy, Rabeaa G. Abtan, Haider J. Ali, More On MC-Functions, The Journal of the College of Basic Education (CBEJ), Vol.21, No.89, 2015, 149-156.
[6] Abdulah, A.A., Al-Aleyawee, R.G.A., Some new result on Shi arrangement, AIP Conference Proceedings, 2023, 2834(1), 080133.
[7] Abtan, R.G., Haraj, R.S., Hyperfactored of the arrangements A (G24) and A (G27), Journal of Physics: Conference Series, 2021, 1818(1), 012144.
[8] Kadhum, S.J., Abdul-Nabi, A.I., Jasim, N.S.Compute some concepts in PG (3,8), Journal of Discrete Mathematical Sciences and Cryptography, 2022, 25(2), pp. 599–604.
[9] Kadhum, S.J., Jasim, N.S., Abdul-Nabi, A.I., Results for the (b, t)-Blocking Sets in PG(2,8), Aip Conference Proceedings, 2023, 2845(1), 050044.
[10] Auday Hekmat Mahmood, Maysaa Zaki Salman , A Note on Relatively Commuting Mappings of Prime and Semiprime Rings" , International Journal of Mathematics and Computer Science, 18(2023), no. 2, 153–162.
[11] Hameed, D.M., Diagonal matrix of the tenser product (≡* Dƿ), ƿ ≥ 3 is prime number, Journal of Discrete Mathematical Sciences and Cryptography, 2025, 28(2), pp. 457–461.
[12] Salih, S.M., Hameed, D.M., Jordan permuting 3-left (resp. right) µ-centralizers on prime semi-rings, Journal of Discrete Mathematical Sciences and Cryptography, 2025, 28(4), pp. 1221–1226.
[13] Mohamed Hameed, D., Zamil Mushtt, I., Invariant Factors of the Tenser Product of (≡∗ (Cα3), Iop Conference Series Materials Science and Engineering, 2020, 928(4), 042038.
Published
2025-09-17
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