On an imprimitive maximal subgroup of $SU_7(2)$ | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 5، دوره 7، شماره 4، زمستان 2026، صفحه 423-440 اصل مقاله (642.47 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2025.23932.1340 | ||
| نویسندگان | ||
| David Mwanzia Musyoka1؛ Abraham Love Prins* 2؛ Lydia Nyambura Njuguna3؛ Lucy Chikamai4 | ||
| 1Department of Mathematics, Statistics and Actuarial Sciences Karatina University P. O. Box 1957-10101, Kenya | ||
| 2Department of Computational Sciences, University of Fort Hare, Private Bag X1314, King William’s Town Road, Alice, 5700, South Africa | ||
| 3Department of Mathematics and Actuarial Science, Kenyatta University, PO Box 43844 - 00100, Nairobi, Kenya | ||
| 4Department of Mathematics and Actuarial Science, Kibabii University, PO Box 1699 - 50200, Bungoma, Kenya | ||
| چکیده | ||
| The special unitary group $SU_{n}(q)$ has a maximal imprimitive subgroup with the structure $(q+1)^{n-1}{:}S_{n}$. The exceptions when the subgroup is not maximal are $SU_{3}(5)$, $SU_{4}(3)$ and $SU_{6}(2)$. In this paper, the ordinary character table of the maximal imprimitive subgroup $\overline{G}=3^{6}{:}S_{7}$ of $SU_{7}(2)=U_{7}(2)$ is computed by the Fischer-Clifford matrices technique. A combinatorial approach is adopted in the computation of the Fischer-Clifford matrices of $\overline{G}$. | ||
| کلیدواژهها | ||
| Character table؛ Fischer-Clifford matrix؛ Inertia factor؛ Coset analysis | ||
| مراجع | ||
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