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On Certain Pairs of Matrices which do not Generate a Free Group
Published online by Cambridge University Press: 20 November 2018
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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.
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- Copyright © Canadian Mathematical Society 1961
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