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MR1953539 20-04 (20B30 20P05 68Q25)
Beals, Robert; Leedham-Green, Charles R.; Niemeyer, Alice C.; Praeger, Cheryl E.; Seress, Ákos A black-box group algorithm for recognizing finite symmetric and alternating groups. I. Trans. Amer. Math. Soc. 355 (2003), no. 5, 2097–2113.
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