# Free group on countable set is quotient-universal for finitely generated groups

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Revision as of 17:13, 14 October 2008 by Vipul (talk | contribs) (New page: ==Statement== Let <math>\Omega</math> be a countable set, and let <math>F</math> be the free group on <math>\Omega</math>. Then, every fact about::finitely generated group is isom...)

## Statement

Let be a countable set, and let be the free group on . Then, every Finitely generated group (?) is isomorphic to some Quotient group (?) of .