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We give an example of a residually-p finitely generated group, that satisfies a non-trivial group law, but is not virtually solvable. Denote by Fn the free group on n generators. Recall that, given a group word m(x1, . . . , xn) ∈ Fn, a group G satisfies the law m = 1 if for every u1, . . . , un ∈ G, m(u1, . . . , un) = 1. Given a set S of group laws, the n-generator free group in the variety g...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1966
ISSN: 0025-5645
DOI: 10.2969/jmsj/01810045