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Suppose $G$ is a finite perfect group, $N$ is an Abelian minimal normal subgroup of $G$ and $$G/N=SL_2(q)$$,$$G/N=SL_2(q),$$ where $q=2^f$ for some integer $f\geq5$.
What can we say about the order of $N$?
Thanks!
Suppose $G$ is a finite perfect group, $N$ is an Abelian minimal normal subgroup of $G$ and $$G/N=SL_2(q)$$, where $q=2^f$ for some integer $f\geq5$.
What can we say about the order of $N$?
Thanks!
Suppose $G$ is a finite perfect group, $N$ is an Abelian minimal normal subgroup of $G$ and $$G/N=SL_2(q),$$ where $q=2^f$ for some integer $f\geq5$.
