A free group acting without fixed points on the rational unit sphere
نویسندگان
چکیده
منابع مشابه
A free group acting without fixed points on the rational unit sphere
We prove the existence of a free group of rotations of rank 2 which acts on the rational unit sphere without non-trivial fixed points. Introduction. The purpose of this paper is to prove that the group SO3(Q) of all proper orthogonal 3 × 3 matrices with rational entries has a free subgroup F2 of rank 2 such that for all w ∈ F2 different from the identity and for all ~r ∈ S2 ∩Q3 we have w(~r ) 6...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1995
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-148-1-63-69