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MR310060 (46 #9163) 20E05
Stork, Daniel The action of the automorphism group of $F\sb{2}$ upon the $A\sb{6}$- and ${\rm PSL}(2,\,7)$-defining subgroups of $F\sb{2}$. Trans. Amer. Math. Soc. 172 (1972), 111–117.
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