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A note on test elements for monomorphisms of free groups

Zhang, Qiang et al.
arXiv (All) · Papers
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group-theory
A word in a group is called a test element if any endomorphism fixing it is necessarily an automorphism. In this note, we give a sufficient condition in geometry to construct test elements for monomorphisms of a free group, by using the Whitehead graph and the action of the free group on its Cayley
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