Mathematics – Group Theory
Scientific paper
2002-08-04
Mathematics
Group Theory
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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