A problem of Hanna Neumann on closed sets of group words
نویسندگان
چکیده
u = \[h, g, g, g], [h, gO] . Note that, with the obvious order on the given free generating set, u is a basic commutator. A routine calculation shows that if the image of u under an arbitrary endomorphism of G is expressed in terms of basic commutators, in this expression u itself will occur with square exponent (and, of course, only commutators of weight 6 occur with nonzero exponent). Consequently, in the basic commutator expression of a product of endomorphic images of u the
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