Number of Generators of [G,G] when G is free? - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-19T21:45:04Z http://mathoverflow.net/feeds/question/105011 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/105011/number-of-generators-of-g-g-when-g-is-free Number of Generators of [G,G] when G is free? Jon Cohen 2012-08-18T22:35:27Z 2012-08-19T02:20:12Z <p>If $G$ is a free group on $n>1$ generators, then $[G,G]$ is also free, being a subgroup of a free group. Is there a formula for the number of generators of this free group in terms of n? </p>