EN
The unit group of group algebra $F_qSL(2;Z_3)$
Öz
Let $\F_q$ be a finite field of characteristic $p$ having $q$ elements, where $q = p^k$ and $p\ge 5$. Let $ SL(2,\Z_3)$ be the special linear group of $2\times2$ matrices with determinant $1$ over $\Z_3$. In this note we establish the structure of the unit group of $\F_q SL(2,\Z_3)$.
Anahtar Kelimeler
Kaynakça
- L. Creedon, J. Gildea, The structure of the unit group of the group algebra F2kD, Canad. Math. Bull. 54(2) (2011) 237–243.
- R. A. Ferraz, Simple components of the center of FG/J(FG), Comm. Algebra 36(9) (2008) 3191–3199.
- J. Gildea, The structure of the unit group of the group algebra FkA4, Czechoslovak Math. J. 61(2) (2011) 531–539.
- J. Gildea, F. Monaghan, Units of some group algebras of groups of order 12 over any finite field of characteristic 3, Algebra Discrete Math. 11(1) (2011) 46–58
- P. R. Helm, A presentation for SL(2, Zpr), Comm. Algebra 10(15) (1982) 1683–1688.
- T. Hurley, Group rings and ring of matrices, Int. J. Pure Appl. Math. 31(3) (2006) 319–335.
- T. Hurley, Convolutional codes from units in matrix and group rings, Int. J. Pure Appl. Math. 50(3) (2009) 431–463
- R. Lidl, H. Niederreiter, Introduction to finite fields and their applications, Cambridge University Press, New York, 2000.
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
-
Yayımlanma Tarihi
11 Ocak 2016
Gönderilme Tarihi
11 Ocak 2016
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2016 Cilt: 3 Sayı: 1
APA
Maheshwari, S., & Sharma, R. K. (2016). The unit group of group algebra $F_qSL(2;Z_3)$. Journal of Algebra Combinatorics Discrete Structures and Applications, 3(1), 1-6. https://doi.org/10.13069/jacodesmath.83854
AMA
1.Maheshwari S, Sharma RK. The unit group of group algebra $F_qSL(2;Z_3)$. Journal of Algebra Combinatorics Discrete Structures and Applications. 2016;3(1):1-6. doi:10.13069/jacodesmath.83854
Chicago
Maheshwari, Swati, ve R. K. Sharma. 2016. “The unit group of group algebra $F_qSL(2;Z_3)$”. Journal of Algebra Combinatorics Discrete Structures and Applications 3 (1): 1-6. https://doi.org/10.13069/jacodesmath.83854.
EndNote
Maheshwari S, Sharma RK (01 Ocak 2016) The unit group of group algebra $F_qSL(2;Z_3)$. Journal of Algebra Combinatorics Discrete Structures and Applications 3 1 1–6.
IEEE
[1]S. Maheshwari ve R. K. Sharma, “The unit group of group algebra $F_qSL(2;Z_3)$”, Journal of Algebra Combinatorics Discrete Structures and Applications, c. 3, sy 1, ss. 1–6, Oca. 2016, doi: 10.13069/jacodesmath.83854.
ISNAD
Maheshwari, Swati - Sharma, R. K. “The unit group of group algebra $F_qSL(2;Z_3)$”. Journal of Algebra Combinatorics Discrete Structures and Applications 3/1 (01 Ocak 2016): 1-6. https://doi.org/10.13069/jacodesmath.83854.
JAMA
1.Maheshwari S, Sharma RK. The unit group of group algebra $F_qSL(2;Z_3)$. Journal of Algebra Combinatorics Discrete Structures and Applications. 2016;3:1–6.
MLA
Maheshwari, Swati, ve R. K. Sharma. “The unit group of group algebra $F_qSL(2;Z_3)$”. Journal of Algebra Combinatorics Discrete Structures and Applications, c. 3, sy 1, Ocak 2016, ss. 1-6, doi:10.13069/jacodesmath.83854.
Vancouver
1.Swati Maheshwari, R. K. Sharma. The unit group of group algebra $F_qSL(2;Z_3)$. Journal of Algebra Combinatorics Discrete Structures and Applications. 01 Ocak 2016;3(1):1-6. doi:10.13069/jacodesmath.83854
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