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چکیده
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Consider G as a fnite group with a generating set A. We defne the (symmetrice diameter of G with respect to A as the maximum length of the shortest word in (A ∪ A−1)A expressing g, where g ranges over all elements in G. The (symmetric) diameter of G is then the maximum (symmetric) diameter over all possible generating sets of G. We use Gn to denote the n-th direct power of G. For any fnite nonabelian solvable group G and n ≥ 1, we establish an upper bound for both the symmetric diameter and the diameter of Gn. This upper bound grows polynomially with respect to n
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