A simple proof of a theorem of Karrass and Solitar

Details A simple proof of a theorem of Karrass and Solitar A simple proof of a theorem of Karrass and Solitar

2004-11-03

arxiv.org/abs/math/0411076v1

Mathematics

Group Theory

2 pages. to appear

Scientific paper

In this note we give a particularly short and simple proof of the following
theorem of Karrass and Solitar. Let $H$ be a finitely generated subgroup of a
free group $F$ with infinite index $[F:H]$. Then there is a nontrivial normal
subgroup $N$ of $F$ such that $N\cap H = \{1\}$.

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