Algorithm FOR Sehreier-Sims Method not rechecking Schreier Generators Input : a set S of generators of a group G; Output : a base B for G; a strong generating set S of G relative to B; procedure Schreier-Sims( var B : partial base; var S : set of elements; i : integer; T : set of elements ); (* Assuming that B and S (i+1) are a base and strong generating set for H (i+1) , produce a base and strong generating set for H (i) T is the set of additional generators in S (i) since the previous call to the procedure with the present value of i. Assume that a base and strong generating set of , (the previous value of H (i)), are included in B and S.

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