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can someone please tell me? I couldn't find a reference in the paper I was reading.

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    $\begingroup$ Note that this fact is only true in finitely generated groups. $\endgroup$
    – HJRW
    Feb 16, 2010 at 5:21

1 Answer 1

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Subgroups of finite index in free groups. Canadian J.Math., 1:187–190, 1949.

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