This note presents an elementary version of Sims's algorithm for computing strong generators of a given perm group, together with a proof of correctness and some notes about appropriate lowlevel data structures. Upper and lower bounds on the running time are also obtained. (Following a suggestion of Vaughan Pratt, we adopt the convention that perm=permutation, perhaps thereby saving millions of syllables in future research.)
AMS subject classifications (1991)20-04 68 Q 25
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