Parametrization of torsion units in U_1(ZS_3)
Yıl: 2004 Cilt: 9 Sayı: 1 Sayfa Aralığı: 73 - 77 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022
Parametrization of torsion units in U_1(ZS_3)
Öz: In this study, a representation of the group ring $ZS_3$ is obtained by using a faithful irreducible representation of $S_3$ of degree 2. In$ZS_3$, all torsion units are expressed in terms of parameters by means of this representation. It is shown that any torsion unit in $U_1(ZS_3)$ can be expressed in terms of two parameters.
Anahtar Kelime: Konular:
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- C.P. Milies and S.K. Sehgal, Torsion units in integral group rings of metacyclic groups, J.Number Theory, 19, 103-114,1984.
- S.K. Sehgal, Units in integral group rings, Marcel Dekker, New york, Basel,1993.
- A.K. Bhandari and I.S. Luthar, Torsion units of integral group rings of metacyclic groups, J.Number Theory, 17,170-183,1993.
- D.G. James and M.W. Liebeck, Representations and characters of groups, Cambridge University Press, 1993.
- I. Hughes and K.R. Pearson, The group of units of the integral group ring ZS3, Canad. Math.Bull. 15, 529 - 534, 1972.
- PJ. Allen and C.A. Hobby, A note on the unit group of ZS3, Proc.Amer.Math.Soc.99, 9-14, 1987.
- E.Jespers and M.M. Parmenter, Bicyclic units in ZS3, Bull.Belg.Math.Soc. 44, 141-146, 1992.
| APA | BİLGİN T (2004). Parametrization of torsion units in U_1(ZS_3). , 73 - 77. |
| Chicago | BİLGİN Tevfik Parametrization of torsion units in U_1(ZS_3). (2004): 73 - 77. |
| MLA | BİLGİN Tevfik Parametrization of torsion units in U_1(ZS_3). , 2004, ss.73 - 77. |
| AMA | BİLGİN T Parametrization of torsion units in U_1(ZS_3). . 2004; 73 - 77. |
| Vancouver | BİLGİN T Parametrization of torsion units in U_1(ZS_3). . 2004; 73 - 77. |
| IEEE | BİLGİN T "Parametrization of torsion units in U_1(ZS_3)." , ss.73 - 77, 2004. |
| ISNAD | BİLGİN, Tevfik. "Parametrization of torsion units in U_1(ZS_3)". (2004), 73-77. |
| APA | BİLGİN T (2004). Parametrization of torsion units in U_1(ZS_3). Mathematical and Computational Applications, 9(1), 73 - 77. |
| Chicago | BİLGİN Tevfik Parametrization of torsion units in U_1(ZS_3). Mathematical and Computational Applications 9, no.1 (2004): 73 - 77. |
| MLA | BİLGİN Tevfik Parametrization of torsion units in U_1(ZS_3). Mathematical and Computational Applications, vol.9, no.1, 2004, ss.73 - 77. |
| AMA | BİLGİN T Parametrization of torsion units in U_1(ZS_3). Mathematical and Computational Applications. 2004; 9(1): 73 - 77. |
| Vancouver | BİLGİN T Parametrization of torsion units in U_1(ZS_3). Mathematical and Computational Applications. 2004; 9(1): 73 - 77. |
| IEEE | BİLGİN T "Parametrization of torsion units in U_1(ZS_3)." Mathematical and Computational Applications, 9, ss.73 - 77, 2004. |
| ISNAD | BİLGİN, Tevfik. "Parametrization of torsion units in U_1(ZS_3)". Mathematical and Computational Applications 9/1 (2004), 73-77. |
