A new proof of a theorem of Ivanov and Schupp

Mathematics – Group Theory

Scientific paper

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Scientific paper

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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