The group of self-distributivity is bi-orderable
نویسندگان
چکیده
منابع مشابه
The Group of Self-distributivity Is Bi-orderable
We prove that the group of left self-distributivity, a cousin of Thompson’s group F and of Artin’s braid group B∞ that describes the geometry of the identity x(yz) = (xy)(xz), admits a bi-invariant linear ordering. To this end, we define a partial action of this group on finite binary trees that preserves a convenient linear ordering.
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ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 2001
ISSN: 0010-2571,1420-8946
DOI: 10.1007/s000140050154