55 citations · 122 across the 16 of their papers we have counts for
17 papers
Diagram groups and groups of piecewise linear homeomorphisms of the line with global fixed points
Daniel S. Farley
Assume and is an increasing sequence of real numbers. Let denote the group of orientation-preserving piecewise…
Finiteness properties of some groups of piecewise projective homeomorphisms
Daniel Farley
The Lodha-Moore group first arose as a finitely presented counterexample to von Neumann's conjecture. The group acts on the unit interval via piecewise projective homemorph…
The planar pure braid group is a diagram group
Daniel S. Farley
A planar pure braid consists of descending smooth arcs, each connecting a point on one horizontal line to a point on a horizontal line , which is required…
Finiteness Properties of Locally Defined Groups
Daniel S. Farley, Bruce Hughes
Let be a set and let be an inverse semigroup of partial bijections of . Thus, an element of is a bijection between two subsets of , and the set is required to…
Quasi-Automorphism Groups of Type F-infinity
Samuel Audino, Delaney R. Aydel, Daniel S. Farley
The groups QF, QT, and QV are groups of quasi-automorphisms of the infinite binary tree. Their names indicate a similarity with Thompson's well-known groups F, T, and V. We will us…
Local similarity groups with context-free co-word problem
Daniel Farley
Let be a group, and let be a finite subset of that generates as a monoid. The co-word problem is the collection of words in the free monoid that represen…