TY - JOUR ID - 5034 TI - Designs from maximal subgroups and conjugacy classes of $\mathrm{PSL}(2,q)$, $q$ odd JO - AUT Journal of Mathematics and Computing JA - AJMC LA - en SN - 2783-2449 AU - Mbaale, Xavier AU - Rodrigues, Bernardo G. AU - Zandi, Seiran AD - Department of Mathematics and Statistics, University of Zambia, Lusaka, Zambia AD - Department of Mathematics and Applied Mathematics, University of Pretoria, Hatfield 0028, South Africa AD - Farzanegan1 High School, Sanandaj, Kurdistan, Iran Y1 - 2023 PY - 2023 VL - 4 IS - 1 SP - 47 EP - 55 KW - Linear group KW - Design KW - conjugacy class KW - maximal subgroup KW - primitive permutation representation DO - 10.22060/ajmc.2022.21877.1117 N2 - 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. UR - https://ajmc.aut.ac.ir/article_5034.html L1 - https://ajmc.aut.ac.ir/article_5034_c5372326408c979c353d9c0f64c69683.pdf ER -