A locally commutative free group acting on the plane

Volume 180 / 2003

Kenzi Satô Fundamenta Mathematicae 180 (2003), 25-34 MSC: Primary 20E05, 28D05; Secondary 20G20. DOI: 10.4064/fm180-1-3


The purpose of this paper is to prove the existence of a free subgroup of the group of all affine transformations on the plane with determinant $1$ such that the action of the subgroup is locally commutative.


  • Kenzi SatôDepartment of Mathematics
    Faculty of Engineering
    Tamagawa University
    6-1-1, Tamagawa-Gakuen, Machida
    Tokyo 194-8610, Japan

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