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Designs from maximal subgroups and conjugacy classes of $\mathrm{PSL}(2,q)$, $q$ odd | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 5، دوره 4، شماره 1، 2023، صفحه 47-55 اصل مقاله (390.12 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2022.21877.1117 | ||
| نویسندگان | ||
| Xavier Mbaale1؛ Bernardo G. Rodrigues2؛ Seiran Zandi* 3 | ||
| 1Department of Mathematics and Statistics, University of Zambia, Lusaka, Zambia | ||
| 2Department of Mathematics and Applied Mathematics, University of Pretoria, Hatfield 0028, South Africa | ||
| 3Farzanegan1 High School, Sanandaj, Kurdistan, Iran | ||
| چکیده | ||
| In this paper, using a method of construction of $1$-designs which are not necessarily symmetric, introduced by Key and Moori, we determine a number of $1$-designs with interesting parameters from the maximal subgroups and the conjugacy classes of elements of the group $PSL(2,q)$ for $q$ a power of an odd prime. | ||
| کلیدواژه‌ها | ||
| Linear group؛ design؛ conjugacy class؛ maximal subgroup؛ primitive permutation representation | ||
| مراجع | ||
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