Almost solutions of equations in permutations

Mathematics – Group Theory

Scientific paper

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Scientific paper

We will say that the permutations f_1,...,f_n is an e-solution of an equation
if the normalized Hamming distance between its l.h.p. and r.h.p. is less than
e. We give a sufficient conditions when near to an e-solution exists an exact
solution and some examples when there does not exist such a solution.

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