A locally commutative free group acting on the plane

Kenzi Satô

Fundamenta Mathematicae (2003)

  • Volume: 180, Issue: 1, page 25-34
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Kenzi Satô. "A locally commutative free group acting on the plane." Fundamenta Mathematicae 180.1 (2003): 25-34. <http://eudml.org/doc/282976>.

@article{KenziSatô2003,
abstract = {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.},
author = {Kenzi Satô},
journal = {Fundamenta Mathematicae},
keywords = {free groups; linear groups; Hausdorff-Banach-Tarski paradox; groups of transformations},
language = {eng},
number = {1},
pages = {25-34},
title = {A locally commutative free group acting on the plane},
url = {http://eudml.org/doc/282976},
volume = {180},
year = {2003},
}

TY - JOUR
AU - Kenzi Satô
TI - A locally commutative free group acting on the plane
JO - Fundamenta Mathematicae
PY - 2003
VL - 180
IS - 1
SP - 25
EP - 34
AB - 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.
LA - eng
KW - free groups; linear groups; Hausdorff-Banach-Tarski paradox; groups of transformations
UR - http://eudml.org/doc/282976
ER -

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