Cubic graphical regular representations of $PSL_2(q)$

preprint2016arXivOpen access

We study cubic graphical regular representations of the finite simple groups $PSL_2(q)$ . It is shown that such graphical regular representations exist if and only if $q\neq7$ , and the generating set must consist of three involutions.

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Cubic graphical regular representations of $PSL_2(q)$

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Cubic graphical regular representations of PSL2(q)PSL_2(q)PSL2​(q)

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Cubic graphical regular representations of $PSL_2(q)$