Geodesic
On Certain Pairs of Matrices which do not Generate a Free Group
Canadian mathematical bulletin, Tome 4 (1961) no. 1, pp. 49-52

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A complex number λ will be said to be free if the multiplicative group Fλ generated by the two matrices is a free group, and non-free, otherwise. Very little is known about the distribution of free and non-free numbers [1]. It is, for instance, unknown whether the domain contains an open set which consists of only free points. 
Ree, Rimhak. On Certain Pairs of Matrices which do not Generate a Free Group. Canadian mathematical bulletin, Tome 4 (1961) no. 1, pp. 49-52. doi: 10.4153/CMB-1961-008-3
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     title = {On {Certain} {Pairs} of {Matrices} which do not {Generate} a {Free} {Group}},
     journal = {Canadian mathematical bulletin},
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     year = {1961},
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     doi = {10.4153/CMB-1961-008-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1961-008-3/}
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