On Certain Pairs of Matrices which do not Generate a Free Group
On Certain Pairs of Matrices which do not Generate a Free Group
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关于某些不生成自由群的矩阵对
DOI：
10.4153/cmb-1961-008-3
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发表时间：
1961
期刊：
影响因子：
--
通讯作者：
R. Ree
中科院分区：
文献类型：
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作者：
R. Ree
如果两个矩阵生成的乘法群 Fλ 是自由群，则称复数 λ 是自由的，否则是非自由的。关于自由数和非自由数的分布知之甚少[1]。例如，未知域是否包含仅由自由点组成的开集。
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.