پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شماره‌ها | 663 |
| تعداد مقالات | 9,691 |
| تعداد مشاهده مقاله | 68,983,185 |
| تعداد دریافت فایل اصل مقاله | 48,478,635 |
On subgroups of the unitary group especially of degree 2 | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 89، دوره 12، شماره 1، مرداد 2021، صفحه 1115-1121 اصل مقاله (338.1 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23056.2469 | ||
| نویسندگان | ||
| Shakir Sabbar* 1؛ Agus Widodo2؛ Noor Hidayat2؛ Abdul Rouf Alghofari2 | ||
| 1Department of Mathematics, Faculty of Mathematics and natural sciences, University of Brawijaya, Malang, Indonesia | ||
| 2Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia | ||
| تاریخ دریافت: 14 بهمن 1399، تاریخ بازنگری: 17 فروردین 1400، تاریخ پذیرش: 22 فروردین 1400 | ||
| چکیده | ||
| The point of the current investigation is to research one of the extremely significant groups exceedingly associated with the classical group which is called the special unitary groups $SU_{2}(K)$ particularly of degree $2$. Let $K$ be a field of characteristic, not equal $2$, our principal objective that to depicting subgroups of $SU_{2}(K)$ over a field $K$ contains all elementary unitary transvections. | ||
| کلیدواژه‌ها | ||
| Unitary group؛ special unitary group؛ unitary transvection | ||
| مراجع | ||
|
[1] A. Bak and N. Vavilov, Structure of hyperbolic unitary groups, I. Elementary subgroups, Algebra Colloq. 7(2) (2000) 159–196. [2] A. Bak and N. Vavilov, The normal structure of hyperbolic unitary groups, Dissertation PhD, University of Bielefeld, Germany, DIN-ISO 9706, 2014. [3] E.L. Bashkirov, On subgroups of the special linear group of degree 2 over an infinite field, Sbornik Math. 187 (1996) 175–192. [4] E.L. Bashkirov, Linear groups that contain a root subgroup, Sib. Math. J. 37 (1996) 754-759. [5] E.L. Bashkirov, On subgroups of the general linear group over the skew field of quaternions containing the special unitary group, (Russian.) Sibirsk. Mat. Zh. 39 (1998) 1251–1266. [6] E.L. Bashkirov, On subgroups of the general linear group of degree four over the skew field of quaternions containing the special unitary group of maximal Witt index, Commun. Alg. 42 (2014) 704–728. [7] E.L. Bashkirov, On subgroups of the group GL7 over a field that contains a Chevalley group of type G2 over a subfield, J. Pure Appl. Alg. 219 (2015) 1992-2014. [8] E.L. Bashkirov, On linear group of degree 2 over a noncommutative division algebra, Commun. Alg. 44(2016) 1033–1054. [9] E.L. Bashkirov and C.K. Gupta, Linear groups over locally finite extensions of infinite fields. Int. J. Alg. Comp. 17 (2007) 905–922. [10] E.L. Bashkirov and C.K. Gupta, Linear groups over integral extensions of semilocal commutative rings, Commun. Alg. 42 (2014) 4149–4171. [11] L.E. Dickson, Linear Groups with an Exposition of Galois Field Theory, Dover, New York, 2003. [12] J. Dieudonne, On the structure of unitary groups, Trans. Amer. Math. Soc.72 (1952) 367–385. [13] R.H. Dye, The conjugacy classes of fixed point free elements of order three or four in GL2n(K), SL2n(K), P GL2n(K), and PSL2n(K), J. Algebra, 169 (1994), 399–417. [14] E. W. Ellers, J. Malzahn, The length problem for the special unitary group generated by positive transvections, J. Univ. Kuwait Sci. 20 (1993) 1–24. [15] C.L. Grove, Classical Groups and Geometric Algebra, Graduate Studies in Mathematics, American Mathematical Society, Providence, RI, 2002. [16] O.H. King, On subgroups of the special linear group containing the special unitary group, Geometric Dedicate 19 (1985) 297-310. [17] O.H. King, On subgroups of the special linear group containing the special orthogonal group, J. Algebra 96 (1985) 178-193. [18] S.M. Sabbar, Certain subgroups of the projective special linear P SL2(K) over a field K, Master Dissertation, Fatih University, Istanbul, Turkey, 2015. [19] A.J. Rotman, An Introduction to the Theory of Groups, Fourth edition, Graduate Texts in Mathematics, 148. Springer-Verlag, New York, 1995. [20] S.M. Sabbar, Description of the projective transvection of the projective special linear group PSL2(K) Over a Field K, J. Phys.: Conf. Ser. 1562 (2020) 012012. [21] S.M. Sabbar, Subgroups of the projective special linear group P SL2(K) that contain a projective root subgroup, Appl. Sci. 22 (2020) 205-215. [22] L. Shangzhi, Over group of SU(n, K, f) or Ω(n, K, Q) in GL(n, K), Geom. Ded. 33 (1990) 241-250. [23] Li. Shangzhi, Overgroups of a unitary group in GL(2, K), J. Algebra 149 (1992) 275-286. [24] A.E. Zalesskii and V.N. Serezhkin, Linear groups generated by transvections, Izv. Akad. Nauk SSSR. Ser. Mat. 40 (1976) 26-49. | ||
|
آمار تعداد مشاهده مقاله: 15,684 تعداد دریافت فایل اصل مقاله: 7,483 |
||