English

A new proof of a theorem of Ivanov and Schupp

Group Theory 2007-05-23 v1

Abstract

The object of this note is to give a very short proof of the following theorem of Ivanov and Schupp. Let H be a finitely generated subgroup of a free group F and the index [F:H] infinite. Then there exists a nontrivial normal subgroup N of F such that N cap H = {1}.

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Cite

@article{arxiv.math/0208026,
  title  = {A new proof of a theorem of Ivanov and Schupp},
  author = {Delaram Kahrobaei},
  journal= {arXiv preprint arXiv:math/0208026},
  year   = {2007}
}