Abstract
Free subgroups in linear groups have been studied by Tits in [7]. In this note, we make two remarks which extend slightly some of the results in [7]. Recall the beautiful theorem of Jordan on finite linear groups. There is an integer function A.(n) defined on the set of positive integers such that every finite subgroup G of GL(n, C) contains a normal abelian subgroup A with index [G: A] < A(n). The following theorem asserts that [7, Theorem 11 can be put in an analogous form to Jordan’s theorem.
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