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A Note on the Hopficity of Finitely Generated Free-by-Nilpotent Groups
Published online by Cambridge University Press: 20 November 2018
Extract
Our purpose is to deduce from a theorem of P. Hall the following observation.
Let G be a finitely generated group and F a free normal subgroup of G with G/F nilpotent. Then G is hopfian.
Here a group G is hopfian if every epiendomorphism G→G is an automorphism.
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- Copyright © Canadian Mathematical Society 1977