Two stingray elements generate a classical group with probability at least 0.975 for groups not containing SL_n(q).
Netto, Substitutionentheorie und ihre Anwendungen auf die Algebra
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The probability that two elements with large $1$-eigenspaces generate a classical group
Two stingray elements generate a classical group with probability at least 0.975 for groups not containing SL_n(q).