Kahkeshani, R. (2020). On some designs constructed from the groups $PSL_{2}(q)$, $q=53,61,64$. Algebraic Structures and Their Applications, 7(1), 59-67. doi: 10.29252/as.2020.1718

Reza Kahkeshani. "On some designs constructed from the groups $PSL_{2}(q)$, $q=53,61,64$". Algebraic Structures and Their Applications, 7, 1, 2020, 59-67. doi: 10.29252/as.2020.1718

Kahkeshani, R. (2020). 'On some designs constructed from the groups $PSL_{2}(q)$, $q=53,61,64$', Algebraic Structures and Their Applications, 7(1), pp. 59-67. doi: 10.29252/as.2020.1718

Kahkeshani, R. On some designs constructed from the groups $PSL_{2}(q)$, $q=53,61,64$. Algebraic Structures and Their Applications, 2020; 7(1): 59-67. doi: 10.29252/as.2020.1718

On some designs constructed from the groups $PSL_{2}(q)$, $q=53,61,64$

^{}Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran

Abstract

In this paper, we use the primitive permutation representations of the simple groups $PSL_2(53)$, $PSL_2(61)$ and $PSL_2(64)$ and construct 1-designs by the Key-Moori Method 1. It is shown that the groups $PSL_2(53)$, $PSL_2(53)\text{:}2$, $PSL_2(61)$, $PSL_2(61)\text{:}2$, $PSL_2(64)$, $PSL_2(64)\text{:}2$, $PSL_2(64)\text{:}3$ and $PSL_2(64)\text{:}6$ appear as the full automorphism groups of these obtained designs.

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