Designs from maximal subgroups and conjugacy classes of $\mathrm{PSL}(2,q)$, $q$ odd

	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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