English

Non-hopfian relatively free groups

Group Theory 2007-05-23 v1

Abstract

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.

Cite

@article{arxiv.math/0312491,
  title  = {Non-hopfian relatively free groups},
  author = {S. V. Ivanov and A. M. Storozhev},
  journal= {arXiv preprint arXiv:math/0312491},
  year   = {2007}
}

Comments

17 pages