The unit group of group algebra $F_qSL(2;Z_3)$

Cilt: 3 Sayı: 1 11 Ocak 2016
  • Swati Maheshwari
  • R. K. Sharma
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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

  1. L. Creedon, J. Gildea, The structure of the unit group of the group algebra F2kD, Canad. Math. Bull. 54(2) (2011) 237–243.
  2. R. A. Ferraz, Simple components of the center of FG/J(FG), Comm. Algebra 36(9) (2008) 3191–3199.
  3. J. Gildea, The structure of the unit group of the group algebra FkA4, Czechoslovak Math. J. 61(2) (2011) 531–539.
  4. 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
  5. P. R. Helm, A presentation for SL(2, Zpr), Comm. Algebra 10(15) (1982) 1683–1688.
  6. T. Hurley, Group rings and ring of matrices, Int. J. Pure Appl. Math. 31(3) (2006) 319–335.
  7. T. Hurley, Convolutional codes from units in matrix and group rings, Int. J. Pure Appl. Math. 50(3) (2009) 431–463
  8. R. Lidl, H. Niederreiter, Introduction to finite fields and their applications, Cambridge University Press, New York, 2000.

Ayrıntılar

Birincil Dil

İngilizce

Konular

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Bölüm

-

Yazarlar

Swati Maheshwari Bu kişi benim

R. K. Sharma Bu kişi benim

Yayımlanma Tarihi

11 Ocak 2016

Gönderilme Tarihi

11 Ocak 2016

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2016 Cilt: 3 Sayı: 1

Kaynak Göster

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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