A characterization of finite soluble groups by laws in two variables∗
نویسندگان
چکیده
Define a sequence (sn) of two-variable words in variables x, y as follows: s0(x, y) = x, sn+1(x, y) = [sn(x, y)−y, sn(x, y)] for n > 0. It is shown that a finite group G is soluble if and only if sn is a law of G for all but finitely many values of n.
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