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 -