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

نویسندگان
Zandi, Seiran ID 1
Mbaale, Xavier ID 2
Rodrigues, Bernardo G. ID 3

1 Farzanegan1 High School, Sanandaj, Kurdistan, Iran

2 Department of Mathematics and Statistics, University of Zambia, Lusaka, Zambia

3 Department of Mathematics and Applied Mathematics, University of Pretoria, Hatfield 0028, South Africa

doi
10.22060/ajmc.2022.21877.1117
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