Add to ORKGAbstract. 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
We give an explicit geometric argument that Artin’s braid group Bn is right-orderable. The construct...
AbstractWe introduce a Dehornoy-like ordering of groups, which is a generalization of the Dehornoy o...
The inflnite braid group B1 admits a left self-distributive structure. In particular, it includes a ...
Abstract. In this paper it is proved that the pure braided Thompson’s group BF admits a bi-order, an...
In this paper it is proved that the pure braided Thompson’s group BF admits a bi-order, analog to th...
ABSTRACT. We complete Artin’s braid group B ∞ with some limit points (with respect to a natural topo...
We describe all possible ways of bi-ordering Thompson’s group F: its space of bi-orderings is made ...
• the left self-distributive law LD: x(yz) = (xy)(xz), and • Artin’s braid groups and related group...
We define a natural and readily calculated bi-invariant strict total ordering of the n-strand pure ...
Abstract We are concerned with orderable groups and particularly those with orderings invariant not ...
Abstract We are concerned with orderable groups and particularly those with orderings invariant not ...
Abstract We are concerned with orderable groups and particularly those with orderings invariant not ...
We investigate a group $B_\bullet$ that includes Artin's braid group $B_\infty$ and Thompson's group...
AbstractWe investigate a group B• that includes Artin's braid group B∞ and Thompson's group F. The e...
Abstract. We establish a necessary condition that an automorphism of a nontrivial finitely generated...
We give an explicit geometric argument that Artin’s braid group Bn is right-orderable. The construct...
AbstractWe introduce a Dehornoy-like ordering of groups, which is a generalization of the Dehornoy o...
The inflnite braid group B1 admits a left self-distributive structure. In particular, it includes a ...
Abstract. In this paper it is proved that the pure braided Thompson’s group BF admits a bi-order, an...
In this paper it is proved that the pure braided Thompson’s group BF admits a bi-order, analog to th...
ABSTRACT. We complete Artin’s braid group B ∞ with some limit points (with respect to a natural topo...
We describe all possible ways of bi-ordering Thompson’s group F: its space of bi-orderings is made ...
• the left self-distributive law LD: x(yz) = (xy)(xz), and • Artin’s braid groups and related group...
We define a natural and readily calculated bi-invariant strict total ordering of the n-strand pure ...
Abstract We are concerned with orderable groups and particularly those with orderings invariant not ...
Abstract We are concerned with orderable groups and particularly those with orderings invariant not ...
Abstract We are concerned with orderable groups and particularly those with orderings invariant not ...
We investigate a group $B_\bullet$ that includes Artin's braid group $B_\infty$ and Thompson's group...
AbstractWe investigate a group B• that includes Artin's braid group B∞ and Thompson's group F. The e...
Abstract. We establish a necessary condition that an automorphism of a nontrivial finitely generated...
We give an explicit geometric argument that Artin’s braid group Bn is right-orderable. The construct...
AbstractWe introduce a Dehornoy-like ordering of groups, which is a generalization of the Dehornoy o...
The inflnite braid group B1 admits a left self-distributive structure. In particular, it includes a ...