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arxiv: math/0312491 · v1 · pith:H5J7VBHRnew · submitted 2003-12-29 · 🧮 math.GR

Non-hopfian relatively free groups

classification 🧮 math.GR
keywords groupsfreenon-hopfianbaumslagconstructgilberthannaneumann
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To solve problems of Gilbert Baumslag and Hanna Neumann, posed in the 1960's, we construct a nontrivial variety of groups all of whose noncyclic free groups are non-hopfian.

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