Computing in quotient groups

Abstract
We present polynomial-time algorithms for computation in quotient groupsG=K of a permutation group G. In effect, these solve, for quotient groups,the problems that are known to be in polynomial-time for permutation groups.Since it is not computationally feasible to represent G=K itself as a permutationgroup, the methodology for the quotient-group versions of such problemsfrequently differ markedly from the procedures that have been observed for theK = 1 subcases. Whereas the algorithms...

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