Non-Hopfian relatively free groups

S. V. Ivanov, A. M. Storozhev

Research output: Contribution to journalArticlepeer-review


To solve problems of Gilbert Baumslag and Hanna Neumann, posed in the 1960's, we construct a nontrivial variety of groups all of whose noncyclic free groups are non-Hopfian.

Original languageEnglish (US)
Pages (from-to)209-228
Number of pages20
JournalGeometriae Dedicata
Issue number1
StatePublished - Aug 2005


  • Free groups
  • Hopfian groups

ASJC Scopus subject areas

  • Geometry and Topology

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