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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

James Boler
James Boler*
Affiliation:
Oklahoma State University Stillwater, Oklahoma
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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 1 , 01 March 1977 , pp. 33 - 34
Copyright
Copyright © Canadian Mathematical Society 1977

References

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