A Note on the Hopficity of Finitely Generated Free-by-Nilpotent Groups
Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 33-34
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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.
Boler, James. A Note on the Hopficity of Finitely Generated Free-by-Nilpotent Groups. Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 33-34. doi: 10.4153/CMB-1977-006-8
@article{10_4153_CMB_1977_006_8,
author = {Boler, James},
title = {A {Note} on the {Hopficity} of {Finitely} {Generated} {Free-by-Nilpotent} {Groups}},
journal = {Canadian mathematical bulletin},
pages = {33--34},
year = {1977},
volume = {20},
number = {1},
doi = {10.4153/CMB-1977-006-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-006-8/}
}
TY - JOUR AU - Boler, James TI - A Note on the Hopficity of Finitely Generated Free-by-Nilpotent Groups JO - Canadian mathematical bulletin PY - 1977 SP - 33 EP - 34 VL - 20 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-006-8/ DO - 10.4153/CMB-1977-006-8 ID - 10_4153_CMB_1977_006_8 ER -
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