15 citations · 15 across the 7 of their papers we have counts for
4 papers · 1 filter
Discretely ordered groups
Peter A. Linnell, Akbar H. Rhemtulla, Dale P. O. Rolfsen
We consider group orders and right-orders which are discrete, meaning there is a least element which is greater than the identity. We note that free groups cannot be given discrete…
Densely ordered braid subgroups
Adam Clay, Dale Rolfsen
Dehornoy showed that the Artin braid groups are left-orderable. This ordering is discrete, but we show that, for the Dehornoy ordering, when restricted to certain natu…
Local indicability and commutator subgroups of Artin groups
Jamie Mulholland, Dale Rolfsen
We determine which of the finite-type Artin groups are locally indicable, and compute presentations for their commutator subgroups.
Invariant group orderings and Galois conjugates
Peter A. Linnell, Akbar H. Rhemtulla, Dale P. O. Rolfsen
This paper investigates conditions under which a given automorphism of a residually torsion-free nilpotent group respects some ordering of the group. For free groups and surface gr…