The group of self-distributivity is bi-orderable | Zendy

Patrick Dehornoy | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

The group of self-distributivity is bi-orderable

Author(s) -

Patrick Dehornoy

Publication year - 2001

Publication title -

commentarii mathematici helvetici

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.603

H-Index - 46

eISSN - 1420-8946

pISSN - 0010-2571

DOI - 10.1007/s000140050154

Subject(s) - mathematics , distributivity , combinatorics , invariant (physics) , group (periodic table) , braid , braid group , pure mathematics , discrete mathematics , distributive property , chemistry , materials science , organic chemistry , composite material , mathematical physics

. We prove that the group of left self-distributivity, a cousin of Thompson's group F and of Artin's braid group $ B_\infty $ 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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research