Algorithm Element as a Strong Generator Product Input: a group G operating on f = 1,2,.....n; an element g of G; a base and strong generating set for G; Schreier vectors v I 1 I k, for the stabiliser chain Output: a symbolic product, a word that expresses g in terms of the strong generators.

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A: Dear student, the answer is provided below.

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A: algorithm is written in next step:

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A: