Geodesic
Powers of Genus two in Free Groups
Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 342-344

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The general problem is to express an element of the derived group of a free group as a product of a minimal number of commutators. An old conjecture is settled in the negative, and a new conjecture and a number of related questions are posed. 
Edmunds, Charles C.; Rosenberger, Gerhard. Powers of Genus two in Free Groups. Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 342-344. doi: 10.4153/CMB-1990-057-3
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     author = {Edmunds, Charles C. and Rosenberger, Gerhard},
     title = {Powers of {Genus} two in {Free} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {342--344},
     year = {1990},
     volume = {33},
     number = {3},
     doi = {10.4153/CMB-1990-057-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-057-3/}
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