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Efficient representation of perm groups

Donald E. Knuth
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Abstract

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 low-level 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.)

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Donald E. Knuth. 1991-01-01. Efficient representation of perm groups. https://arxiv.org/abs/math/9201304

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