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Finitely generated non-Hopfian groups. (English) Zbl 0467.20025


MSC:

20E15 Chains and lattices of subgroups, subnormal subgroups
20E22 Extensions, wreath products, and other compositions of groups
20E07 Subgroup theorems; subgroup growth
20F05 Generators, relations, and presentations of groups
20E34 General structure theorems for groups
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References:

[1] P. Hall, On the embedding of a group in a join of given groups, J. Austral. Math. Soc. 17 (1974), 434 – 495. Collection of articles dedicated to the memory of Hanna Neumann, VIII. · Zbl 0296.20015
[2] -, Nilpotent groups, Canad. Math. Congress Summer Seminar, Univ. of Alberta, 1957.
[3] Peter M. Neumann, Endomorphisms of infinite soluble groups, Bull. London Math. Soc. 12 (1980), no. 1, 13 – 16. · Zbl 0431.20032 · doi:10.1112/blms/12.1.13
[4] J. M. Tyrer Jones, Direct products and the Hopf property, J. Austral. Math. Soc. 17 (1974), 174 – 196. Collection of articles dedicated to the memory of Hanna Neumann, VI. · Zbl 0286.20040
[5] J. S. Wilson, On characteristically simple groups, Math. Proc. Cambridge Philos. Soc. 80 (1976), no. 1, 19 – 35. · Zbl 0338.20038 · doi:10.1017/S0305004100052622
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