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

Document Type : Original Article

Authors

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

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

3 Farzanegan1 High School, Sanandaj, Kurdistan, Iran

Abstract

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.

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References

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AUT Journal of Mathematics and Computing
Volume 4, Issue 1
February 2023
Pages 47-55

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